72715860 has 96 divisors (see below), whose sum is σ = 258558720. Its totient is φ = 16619904.

The previous prime is 72715849. The next prime is 72715883. The reversal of 72715860 is 6851727.

72715860 is a `hidden beast` number, since 7 + 2 + 71 + 586 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5839 + ... + 13398.

It is an arithmetic number, because the mean of its divisors is an integer number (2693320).

Almost surely, 2^72715860 is an apocalyptic number.

72715860 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72715860 is an abundant number, since it is smaller than the sum of its proper divisors (185842860).

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

72715860 is a wasteful number, since it uses less digits than its factorization.

72715860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19262 (or 19254 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 72715860 is about 8527.3594975233. The cubic root of 72715860 is about 417.3909691743.

It can be divided in two parts, 7271 and 5860, that added together give a palindrome (13131).

The spelling of 72715860 in words is "seventy-two million, seven hundred fifteen thousand, eight hundred sixty".