72804627 has 12 divisors (see below), whose sum is σ = 120185520. Its totient is φ = 41602608.

The previous prime is 72804617. The next prime is 72804631. The reversal of 72804627 is 72640827.

72804627 is a `hidden beast` number, since 7 + 28 + 0 + 4 + 627 = 666.

It is not a de Polignac number, because 72804627 - 2¹² = 72800531 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72804591 and 72804600.

It is not an unprimeable number, because it can be changed into a prime (72804617) 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 11 ways as a sum of consecutive naturals, for example, 577752 + ... + 577877.

It is an arithmetic number, because the mean of its divisors is an integer number (10015460).

Almost surely, 2^72804627 is an apocalyptic number.

72804627 is a deficient number, since it is larger than the sum of its proper divisors (47380893).

72804627 is a wasteful number, since it uses less digits than its factorization.

72804627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155642 (or 1155639 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72804627 is about 8532.5627451546. The cubic root of 72804627 is about 417.5607417569.

The spelling of 72804627 in words is "seventy-two million, eight hundred four thousand, six hundred twenty-seven".