72304677 has 16 divisors (see below), whose sum is σ = 108936000. Its totient is φ = 47385072.

The previous prime is 72304657. The next prime is 72304693. The reversal of 72304677 is 77640327.

It is not a de Polignac number, because 72304677 - 2¹² = 72300581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72304657) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21102 + ... + 24287.

It is an arithmetic number, because the mean of its divisors is an integer number (6808500).

Almost surely, 2^72304677 is an apocalyptic number.

It is an amenable number.

72304677 is a deficient number, since it is larger than the sum of its proper divisors (36631323).

72304677 is a wasteful number, since it uses less digits than its factorization.

72304677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45457 (or 45451 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 72304677 is about 8503.2156858450. The cubic root of 72304677 is about 416.6027478128.

The spelling of 72304677 in words is "seventy-two million, three hundred four thousand, six hundred seventy-seven".