72407264 has 12 divisors (see below), whose sum is σ = 142551864. Its totient is φ = 36203616.

The previous prime is 72407239. The next prime is 72407303. The reversal of 72407264 is 46270427.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 2262727 = 72407264 / (7 + 2 + 4 + 0 + 7 + 2 + 6 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 72407264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1131332 + ... + 1131395.

It is an arithmetic number, because the mean of its divisors is an integer number (11879322).

Almost surely, 2^72407264 is an apocalyptic number.

It is an amenable number.

72407264 is a deficient number, since it is larger than the sum of its proper divisors (70144600).

72407264 is a wasteful number, since it uses less digits than its factorization.

72407264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262737 (or 2262729 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 72407264 is about 8509.2457950161. The cubic root of 72407264 is about 416.7996821897.

The spelling of 72407264 in words is "seventy-two million, four hundred seven thousand, two hundred sixty-four".