72456795684 has 729 divisors, whose sum is σ = 253818847737. Its totient is φ = 17365211136.

The previous prime is 72456795661. The next prime is 72456795707. The reversal of 72456795684 is 48659765427.

The square root of 72456795684 is 269178.

It is a perfect power (a square), and thus also a powerful number.

72456795684 is a `hidden beast` number, since 7 + 2 + 4 + 5 + 67 + 9 + 568 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (72456795661) and next prime (72456795707).

It can be written as a sum of positive squares in 13 ways, for example, as 41339835684 + 31116960000 = 203322^2 + 176400^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2498510182 + ... + 2498510210.

Almost surely, 2^72456795684 is an apocalyptic number.

72456795684 is the 269178-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72456795684

72456795684 is an abundant number, since it is smaller than the sum of its proper divisors (181362052053).

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

72456795684 is a wasteful number, since it uses less digits than its factorization.

72456795684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 71 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 72456795684 in words is "seventy-two billion, four hundred fifty-six million, seven hundred ninety-five thousand, six hundred eighty-four".