72872304 has 40 divisors (see below), whose sum is σ = 188559360. Its totient is φ = 24251328.

The previous prime is 72872281. The next prime is 72872311. The reversal of 72872304 is 40327827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56337 + ... + 57615.

It is an arithmetic number, because the mean of its divisors is an integer number (4713984).

Almost surely, 2^72872304 is an apocalyptic number.

It is an amenable number.

72872304 is an abundant number, since it is smaller than the sum of its proper divisors (115687056).

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

72872304 is a wasteful number, since it uses less digits than its factorization.

72872304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 72872304 is about 8536.5276313030. The cubic root of 72872304 is about 417.6900856722.

It can be divided in two parts, 7287 and 2304, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 72872304 in words is "seventy-two million, eight hundred seventy-two thousand, three hundred four".