72624671 has 16 divisors (see below), whose sum is σ = 86192640. Its totient is φ = 59871840.

The previous prime is 72624637. The next prime is 72624677. The reversal of 72624671 is 17642627.

It is a de Polignac number, because none of the positive numbers 2^k-72624671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72624677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69926 + ... + 70956.

It is an arithmetic number, because the mean of its divisors is an integer number (5387040).

Almost surely, 2^72624671 is an apocalyptic number.

72624671 is a deficient number, since it is larger than the sum of its proper divisors (13567969).

72624671 is a wasteful number, since it uses less digits than its factorization.

72624671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414.

The product of its digits is 28224, while the sum is 35.

The square root of 72624671 is about 8522.0109715958. The cubic root of 72624671 is about 417.2164204287.

The spelling of 72624671 in words is "seventy-two million, six hundred twenty-four thousand, six hundred seventy-one".