72656938127868 has 12 divisors (see below), whose sum is σ = 169532855631720. Its totient is φ = 24218979375952.

The previous prime is 72656938127821. The next prime is 72656938127887. The reversal of 72656938127868 is 86872183965627.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72656938127793 and 72656938127802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3027372421983 + ... + 3027372422006.

It is an arithmetic number, because the mean of its divisors is an integer number (14127737969310).

Almost surely, 2^{72656938127868} is an apocalyptic number.

It is an amenable number.

72656938127868 is an abundant number, since it is smaller than the sum of its proper divisors (96875917503852).

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

72656938127868 is a wasteful number, since it uses less digits than its factorization.

72656938127868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6054744843996 (or 6054744843994 counting only the distinct ones).

The product of its digits is 2926264320, while the sum is 78.

The spelling of 72656938127868 in words is "seventy-two trillion, six hundred fifty-six billion, nine hundred thirty-eight million, one hundred twenty-seven thousand, eight hundred sixty-eight".