72810757365024 has 144 divisors (see below), whose sum is σ = 223664185217088. Its totient is φ = 20678504007168.

The previous prime is 72810757365023. The next prime is 72810757365037. The reversal of 72810757365024 is 42056375701827.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72810757365023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45557179 + ... + 47128314.

It is an arithmetic number, because the mean of its divisors is an integer number (1553223508452).

Almost surely, 2^{72810757365024} is an apocalyptic number.

It is an amenable number.

72810757365024 is an abundant number, since it is smaller than the sum of its proper divisors (150853427852064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72810757365024 is a wasteful number, since it uses less digits than its factorization.

72810757365024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92685687 (or 92685672 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 57.

The spelling of 72810757365024 in words is "seventy-two trillion, eight hundred ten billion, seven hundred fifty-seven million, three hundred sixty-five thousand, twenty-four".