72314496 has 48 divisors (see below), whose sum is σ = 208095810. Its totient is φ = 24104448.

The previous prime is 72314477. The next prime is 72314503. The reversal of 72314496 is 69441327.

It can be written as a sum of positive squares in only one way, i.e., 48108096 + 24206400 = 6936^2 + 4920^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 72314496.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30235 + ... + 32538.

Almost surely, 2^72314496 is an apocalyptic number.

It is an amenable number.

72314496 is an abundant number, since it is smaller than the sum of its proper divisors (135781314).

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

72314496 is a wasteful number, since it uses less digits than its factorization.

72314496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62793 (or 62778 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 72314496 is about 8503.7930360516. The cubic root of 72314496 is about 416.6216052247.

The spelling of 72314496 in words is "seventy-two million, three hundred fourteen thousand, four hundred ninety-six".