72684596160 has 448 divisors, whose sum is σ = 296186595840. Its totient is φ = 16583639040.

The previous prime is 72684596081. The next prime is 72684596261. The reversal of 72684596160 is 6169548627.

72684596160 is a `hidden beast` number, since 7 + 26 + 8 + 459 + 6 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72684596097 and 72684596106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1593187 + ... + 1638173.

Almost surely, 2^72684596160 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 72684596160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148093297920).

72684596160 is an abundant number, since it is smaller than the sum of its proper divisors (223501999680).

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

72684596160 is a wasteful number, since it uses less digits than its factorization.

72684596160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45041 (or 45025 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 72684596160 in words is "seventy-two billion, six hundred eighty-four million, five hundred ninety-six thousand, one hundred sixty".