72776201517329 has 2 divisors, whose sum is σ = 72776201517330. Its totient is φ = 72776201517328.

The previous prime is 72776201517317. The next prime is 72776201517343. The reversal of 72776201517329 is 92371510267727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41399701747600 + 31376499769729 = 6434260^2 + 5601473^2 .

It is a cyclic number.

It is not a de Polignac number, because 72776201517329 - 2⁸ = 72776201517073 is a prime.

It is not a weakly prime, because it can be changed into another prime (72776201517359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36388100758664 + 36388100758665.

It is an arithmetic number, because the mean of its divisors is an integer number (36388100758665).

Almost surely, 2^{72776201517329} is an apocalyptic number.

It is an amenable number.

72776201517329 is a deficient number, since it is larger than the sum of its proper divisors (1).

72776201517329 is an equidigital number, since it uses as much as digits as its factorization.

72776201517329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15558480, while the sum is 59.

The spelling of 72776201517329 in words is "seventy-two trillion, seven hundred seventy-six billion, two hundred one million, five hundred seventeen thousand, three hundred twenty-nine".