72864036 has 72 divisors (see below), whose sum is σ = 218312640. Its totient is φ = 20816352.

The previous prime is 72863983. The next prime is 72864061. The reversal of 72864036 is 63046827.

72864036 is a `hidden beast` number, since 7 + 2 + 8 + 640 + 3 + 6 = 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 23 ways as a sum of consecutive naturals, for example, 1450 + ... + 12158.

It is an arithmetic number, because the mean of its divisors is an integer number (3032120).

Almost surely, 2^72864036 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 72864036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109156320).

72864036 is an abundant number, since it is smaller than the sum of its proper divisors (145448604).

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

72864036 is a wasteful number, since it uses less digits than its factorization.

72864036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10735 (or 10721 counting only the distinct ones).

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

The square root of 72864036 is about 8536.0433457194. The cubic root of 72864036 is about 417.6742882107.

The spelling of 72864036 in words is "seventy-two million, eight hundred sixty-four thousand, thirty-six".