72378264 has 32 divisors (see below), whose sum is σ = 206795520. Its totient is φ = 20679456.

The previous prime is 72378233. The next prime is 72378283. The reversal of 72378264 is 46287327.

It is a super-2 number, since 2×72378264² = 10477226199307392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215244 + ... + 215579.

It is an arithmetic number, because the mean of its divisors is an integer number (6462360).

Almost surely, 2^72378264 is an apocalyptic number.

It is an amenable number.

72378264 is an abundant number, since it is smaller than the sum of its proper divisors (134417256).

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

72378264 is a wasteful number, since it uses less digits than its factorization.

72378264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430839 (or 430835 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 72378264 is about 8507.5415955492. The cubic root of 72378264 is about 416.7440302926.

It can be divided in two parts, 723 and 78264, that added together give a palindrome (78987).

The spelling of 72378264 in words is "seventy-two million, three hundred seventy-eight thousand, two hundred sixty-four".