Military prosecutors have opened an enquiry.
Another young conscript, Andrei Sychev, also had to undergo a double leg amputation after being beaten for three hours on the night of New Year's eve. He was left without medical attention for three days, during which time gangrene set into his lower limbs and genitals, which also had to be removed.
The Sychev case prompted outrage in Russian media about the tradition of hazing, which usually involves first-year conscripts being bullied by their second-year colleagues and more senior officers.
Prosecutors said 12 soldiers have so far been held over the Sychev incident, including the academy's director.