72624617 has 8 divisors (see below), whose sum is σ = 78288840. Its totient is φ = 66971520.

The previous prime is 72624577. The next prime is 72624619. The reversal of 72624617 is 71642627.

It can be written as a sum of positive squares in 4 ways, for example, as 38390416 + 34234201 = 6196^2 + 5851^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72624617 - 2⁶ = 72624553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72624619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15059 + ... + 19287.

It is an arithmetic number, because the mean of its divisors is an integer number (9786105).

Almost surely, 2^72624617 is an apocalyptic number.

It is an amenable number.

72624617 is a deficient number, since it is larger than the sum of its proper divisors (5664223).

72624617 is a wasteful number, since it uses less digits than its factorization.

72624617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5563.

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

The square root of 72624617 is about 8522.0078033290. The cubic root of 72624617 is about 417.2163170217.

The spelling of 72624617 in words is "seventy-two million, six hundred twenty-four thousand, six hundred seventeen".