72624945 has 16 divisors (see below), whose sum is σ = 116399232. Its totient is φ = 38666880.

The previous prime is 72624943. The next prime is 72624947. The reversal of 72624945 is 54942627.

It is an interprime number because it is at equal distance from previous prime (72624943) and next prime (72624947).

It is not a de Polignac number, because 72624945 - 2¹ = 72624943 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72624941) 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, 5629 + ... + 13301.

It is an arithmetic number, because the mean of its divisors is an integer number (7274952).

Almost surely, 2^72624945 is an apocalyptic number.

It is an amenable number.

72624945 is a deficient number, since it is larger than the sum of its proper divisors (43774287).

72624945 is a wasteful number, since it uses less digits than its factorization.

72624945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312.

The product of its digits is 120960, while the sum is 39.

The square root of 72624945 is about 8522.0270475985. The cubic root of 72624945 is about 417.2169451225.

The spelling of 72624945 in words is "seventy-two million, six hundred twenty-four thousand, nine hundred forty-five".