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In fact, confidential records show that starting in 2010 he claimed, and received, an income tax refund totaling $72.9 million — all the federal income tax he had paid for 2005 through 2008, plus interest.

The legitimacy of that refund is at the center of the audit battle that he has long been waging, out of public view, with the I.R.S.

The dispute may center on a single claim that jumps off the page of Mr. Trump’s 2009 tax return: a declaration of more than $700 million in business losses that he had not been allowed to use in prior years. Unleashing that giant tax-avoidance coupon enabled him to receive some or all of his refund.

The material obtained by The Times does not identify the business or businesses that generated those losses. But the losses were a kind that can be claimed only when partners give up their interest in a business. And in 2009, Mr. Trump parted ways with a giant money loser: his long-failing Atlantic City casinos.

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A partner who walks away from a business with nothing — what tax laws refer to as abandonment — can suddenly declare all the losses on the business that could not be used in prior years. But there are a few catches, including this: Abandonment is essentially an all-or-nothing proposition. If the I.R.S. learns that the owner received anything of value, the allowable losses are reduced to just $3,000 a year.

And Mr. Trump does appear to have received something. When the casino bankruptcy concluded, he got 5 percent of the stock in the new company. The materials reviewed by The Times do not make clear whether Mr. Trump’s refund application reflected his public declaration of abandonment. If it did, that 5 percent could place his entire refund in question.

This time around, he is personally responsible for loans and other debts totaling $421 million, with most of it coming due within four years. Should he win re-election, his lenders could be placed in the unprecedented position of weighing whether to foreclose on a sitting president.