72810757364981 has 2 divisors, whose sum is σ = 72810757364982. Its totient is φ = 72810757364980.

The previous prime is 72810757364977. The next prime is 72810757365023. The reversal of 72810757364981 is 18946375701827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68068423628881 + 4742333736100 = 8250359^2 + 2177690^2 .

It is a cyclic number.

It is not a de Polignac number, because 72810757364981 - 2² = 72810757364977 is a prime.

It is a super-2 number, since 2×72810757364981² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72810757364941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36405378682490 + 36405378682491.

It is an arithmetic number, because the mean of its divisors is an integer number (36405378682491).

It is a 1-persistent number, because it is pandigital, but 2⋅72810757364981 = 145621514729962 is not.

Almost surely, 2^{72810757364981} is an apocalyptic number.

It is an amenable number.

72810757364981 is a deficient number, since it is larger than the sum of its proper divisors (1).

72810757364981 is an equidigital number, since it uses as much as digits as its factorization.

72810757364981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 142248960, while the sum is 68.

The spelling of 72810757364981 in words is "seventy-two trillion, eight hundred ten billion, seven hundred fifty-seven million, three hundred sixty-four thousand, nine hundred eighty-one".