Several thousand prosecutors and judges have also been removed.
A senior Turkish official confirmed to Reuters that President Erdogan's Gulfstream IV jet was harassed while flying to Istanbul by two F-16s commandeered by the coup plotters. Erdogan's chief military assistant was also detained, broadcaster CNN Turk said.
Prime Minister Binali Yildirim meanwhile thanked the Turkish people for defeating the coup. Work was under way to purge the civil service. Yildirim rejected that demand.
However, Ozturk said he was not the only organizer of the rebellion.
The coup attempt, which was launched late Friday night in Turkey, was eventually crushed by Turkish forces loyal to Erdogan.
At around 11:30 pm, a group within the military announced it had seized control of Turkey and that the country was now under martial law.
President Recep Tayyip Erdogan hinted that Turkey might bring back capital punishment to punish those responsible for the coup.
He said he made his getaway to a plane bound for Istanbul only minutes before the rebels entered the hotel.
"We can not ignore this demand", Erdogan told the chanting crowd.
With a cracked voice and tears, he repeated a question his grandson had put to him: "Why are they killing people?"
He recalled that Turkish troops fought alongside their American counterparts during the Korean War, and that the two nations have been close allies for decades at the trans-Atlantic military alliance that Turkey joined in 1952. Germany said on Monday that Turkey would lose its European Union status if it reinstates the death penalty.
"If the AKP is ready, we are in for the death penalty", Bahceli said.
"God willing, first we will build historically appropriate barracks at Taksim, whether they like it or not", Erdogan told supporters gathered outside his Istanbul home overnight to show their defiance after a faction of the military attempted to overthrow him on July 15.
"We stand squarely on the side of the elected leadership in Turkey".
Secretary of State John Kerry, traveling in Luxembourg, said that Washington has not received any formal extradition request.
President Recep Tayyip Erdoğan and his ruling Justice and Development Party should honor the public support for democracy by adhering to democratic standards and upholding the rule of law and human rights rather than undermining them.
He has said did not want to seek revenge against those behind the failed coup and that his government would act with "reason and experience".
WATCH: What's behind Turkey's failed coup? "There is no excuse for any steps that take the country away from that".
Authorities have also detained General Mehmet Disli, who conducted the operation to capture chief-of-staff Hulusi Akar during the coup, an official said.
Erdogan has laid the blame fully on Gulen and his followers, who have strongly denied any links to the putsch.
Erdogan has blamed a high-profile former ally who has since become a bitter rival, Fethullah Gulen, for the attempt. "The lists are available, which indicates it was prepared and to be used at a certain stage", Hahn said.
"I'm very concerned. It is exactly what we feared", he said in Brussels.