72717131664 has 120 divisors (see below), whose sum is σ = 214310241600. Its totient is φ = 22953404160.

The previous prime is 72717131653. The next prime is 72717131699. The reversal of 72717131664 is 46613171727.

72717131664 is a `hidden beast` number, since 7 + 271 + 7 + 1 + 316 + 64 = 666.

It is a super-2 number, since 2×72717131664² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8830429 + ... + 8838659.

It is an arithmetic number, because the mean of its divisors is an integer number (1785918680).

Almost surely, 2^72717131664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72717131664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107155120800).

72717131664 is an abundant number, since it is smaller than the sum of its proper divisors (141593109936).

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

72717131664 is a wasteful number, since it uses less digits than its factorization.

72717131664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11493 (or 11484 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The spelling of 72717131664 in words is "seventy-two billion, seven hundred seventeen million, one hundred thirty-one thousand, six hundred sixty-four".