72312264 has 40 divisors (see below), whose sum is σ = 202543110. Its totient is φ = 24103872.

The previous prime is 72312257. The next prime is 72312269. The reversal of 72312264 is 46221327.

It can be written as a sum of positive squares in only one way, i.e., 44116164 + 28196100 = 6642^2 + 5310^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72312269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 55149 + ... + 56444.

Almost surely, 2^72312264 is an apocalyptic number.

It is an amenable number.

72312264 is an abundant number, since it is smaller than the sum of its proper divisors (130230846).

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

72312264 is a wasteful number, since it uses less digits than its factorization.

72312264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111611 (or 111598 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 72312264 is about 8503.6617994838. The cubic root of 72312264 is about 416.6173188135.

The spelling of 72312264 in words is "seventy-two million, three hundred twelve thousand, two hundred sixty-four".