72624315 has 32 divisors (see below), whose sum is σ = 119070720. Its totient is φ = 37787904.

The previous prime is 72624313. The next prime is 72624319. The reversal of 72624315 is 51342627.

It is not a de Polignac number, because 72624315 - 2¹ = 72624313 is a prime.

It is a super-2 number, since 2×72624315² = 10548582258438450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72624313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127351 + ... + 127919.

It is an arithmetic number, because the mean of its divisors is an integer number (3720960).

Almost surely, 2^72624315 is an apocalyptic number.

72624315 is a deficient number, since it is larger than the sum of its proper divisors (46446405).

72624315 is a wasteful number, since it uses less digits than its factorization.

72624315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771.

The product of its digits is 10080, while the sum is 30.

The square root of 72624315 is about 8521.9900844814. The cubic root of 72624315 is about 417.2157387077.

The spelling of 72624315 in words is "seventy-two million, six hundred twenty-four thousand, three hundred fifteen".