72360864 has 60 divisors (see below), whose sum is σ = 212818914. Its totient is φ = 24119424.

The previous prime is 72360839. The next prime is 72360877. The reversal of 72360864 is 46806327.

It can be written as a sum of positive squares in only one way, i.e., 44355600 + 28005264 = 6660^2 + 5292^2 .

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 9 ways as a sum of consecutive naturals, for example, 11367 + ... + 16550.

Almost surely, 2^72360864 is an apocalyptic number.

It is an amenable number.

72360864 is an abundant number, since it is smaller than the sum of its proper divisors (140458050).

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

72360864 is a wasteful number, since it uses less digits than its factorization.

72360864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27939 (or 27922 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 72360864 is about 8506.5189119874. The cubic root of 72360864 is about 416.7106320185.

The spelling of 72360864 in words is "seventy-two million, three hundred sixty thousand, eight hundred sixty-four".