72708624 has 80 divisors (see below), whose sum is σ = 213200640. Its totient is φ = 23713920.

The previous prime is 72708619. The next prime is 72708653. The reversal of 72708624 is 42680727.

72708624 is a `hidden beast` number, since 7 + 27 + 0 + 8 + 624 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18514 + ... + 22094.

It is an arithmetic number, because the mean of its divisors is an integer number (2665008).

Almost surely, 2^72708624 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 72708624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106600320).

72708624 is an abundant number, since it is smaller than the sum of its proper divisors (140492016).

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

72708624 is a wasteful number, since it uses less digits than its factorization.

72708624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72708624 is about 8526.9352055706. The cubic root of 72708624 is about 417.3771237709.

The spelling of 72708624 in words is "seventy-two million, seven hundred eight thousand, six hundred twenty-four".