72392256 has 84 divisors (see below), whose sum is σ = 219734892. Its totient is φ = 22708224.

The previous prime is 72392251. The next prime is 72392291. The reversal of 72392256 is 65229327.

It can be written as a sum of positive squares in 2 ways, for example, as 33454656 + 38937600 = 5784^2 + 6240^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 72392256.

It is not an unprimeable number, because it can be changed into a prime (72392251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6096 + ... + 13488.

Almost surely, 2^72392256 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 72392256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109867446).

72392256 is an abundant number, since it is smaller than the sum of its proper divisors (147342636).

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

72392256 is a wasteful number, since it uses less digits than its factorization.

72392256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7428 (or 7415 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 72392256 is about 8508.3638850251. The cubic root of 72392256 is about 416.7708832290.

The spelling of 72392256 in words is "seventy-two million, three hundred ninety-two thousand, two hundred fifty-six".