72713785968 has 160 divisors (see below), whose sum is σ = 210068251200. Its totient is φ = 24081408000.

The previous prime is 72713785933. The next prime is 72713785979. The reversal of 72713785968 is 86958731727.

72713785968 is a `hidden beast` number, since 7 + 2 + 7 + 1 + 37 + 8 + 596 + 8 = 666.

It is a super-2 number, since 2×72713785968² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60543768 + ... + 60544968.

It is an arithmetic number, because the mean of its divisors is an integer number (1312926570).

Almost surely, 2^72713785968 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 72713785968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105034125600).

72713785968 is an abundant number, since it is smaller than the sum of its proper divisors (137354465232).

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

72713785968 is a wasteful number, since it uses less digits than its factorization.

72713785968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1996 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 72713785968 in words is "seventy-two billion, seven hundred thirteen million, seven hundred eighty-five thousand, nine hundred sixty-eight".