72810757393937 has 2 divisors, whose sum is σ = 72810757393938. Its totient is φ = 72810757393936.

The previous prime is 72810757393897. The next prime is 72810757394087. The reversal of 72810757393937 is 73939375701827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58558139124241 + 14252618269696 = 7652329^2 + 3775264^2 .

It is a cyclic number.

It is not a de Polignac number, because 72810757393937 - 2²⁴ = 72810740616721 is a prime.

It is not a weakly prime, because it can be changed into another prime (72810757393037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36405378696968 + 36405378696969.

It is an arithmetic number, because the mean of its divisors is an integer number (36405378696969).

Almost surely, 2^{72810757393937} is an apocalyptic number.

It is an amenable number.

72810757393937 is a deficient number, since it is larger than the sum of its proper divisors (1).

72810757393937 is an equidigital number, since it uses as much as digits as its factorization.

72810757393937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420078960, while the sum is 71.

The spelling of 72810757393937 in words is "seventy-two trillion, eight hundred ten billion, seven hundred fifty-seven million, three hundred ninety-three thousand, nine hundred thirty-seven".