72521412804 has 63 divisors (see below), whose sum is σ = 190319826207. Its totient is φ = 24168956904.

The previous prime is 72521412773. The next prime is 72521412853. The reversal of 72521412804 is 40821412527.

The square root of 72521412804 is 269298.

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

72521412804 is a `hidden beast` number, since 7 + 2 + 521 + 4 + 128 + 0 + 4 = 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 20 ways as a sum of consecutive naturals, for example, 14539599 + ... + 14544585.

Almost surely, 2^72521412804 is an apocalyptic number.

72521412804 is the 269298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72521412804

72521412804 is an abundant number, since it is smaller than the sum of its proper divisors (117798413403).

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

72521412804 is an frugal number, since it uses more digits than its factorization.

72521412804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9996 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Multiplying 72521412804 by its sum of digits (36), we get a square (2610770860944 = 1615788²).

72521412804 divided by its sum of digits (36) gives a square (2014483689 = 44883²).

The spelling of 72521412804 in words is "seventy-two billion, five hundred twenty-one million, four hundred twelve thousand, eight hundred four".