72631164095568 has 120 divisors (see below), whose sum is σ = 218966869572360. Its totient is φ = 22341454248960.

The previous prime is 72631164095549. The next prime is 72631164095573. The reversal of 72631164095568 is 86559046113627.

It is a happy number.

72631164095568 is a `hidden beast` number, since 7 + 2 + 6 + 3 + 1 + 1 + 64 + 0 + 9 + 5 + 568 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36016417871424 + 36614746224144 = 6001368^2 + 6051012^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 619998 + ... + 12068418.

It is an arithmetic number, because the mean of its divisors is an integer number (1824723913103).

It is a 1-persistent number, because it is pandigital, but 2⋅72631164095568 = 145262328191136 is not.

Almost surely, 2^{72631164095568} is an apocalyptic number.

72631164095568 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72631164095568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109483434786180).

72631164095568 is an abundant number, since it is smaller than the sum of its proper divisors (146335705476792).

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

72631164095568 is a wasteful number, since it uses less digits than its factorization.

72631164095568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11451837 (or 11451828 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 72631164095568 in words is "seventy-two trillion, six hundred thirty-one billion, one hundred sixty-four million, ninety-five thousand, five hundred sixty-eight".