72513811831527 has 96 divisors (see below), whose sum is σ = 125105245977600. Its totient is φ = 41337002615040.

The previous prime is 72513811831393. The next prime is 72513811831619.

72513811831527 is a `hidden beast` number, since 7 + 2 + 5 + 1 + 3 + 81 + 1 + 8 + 31 + 527 = 666.

72513811831527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72513811831527 - 2²⁷ = 72513677613799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72513811831627) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89514418 + ... + 90320864.

It is an arithmetic number, because the mean of its divisors is an integer number (1303179645600).

Almost surely, 2^{72513811831527} is an apocalyptic number.

72513811831527 is a deficient number, since it is larger than the sum of its proper divisors (52591434146073).

72513811831527 is a wasteful number, since it uses less digits than its factorization.

72513811831527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808114 (or 808097 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 54.

The spelling of 72513811831527 in words is "seventy-two trillion, five hundred thirteen billion, eight hundred eleven million, eight hundred thirty-one thousand, five hundred twenty-seven".