72645657 has 16 divisors (see below), whose sum is σ = 111547392. Its totient is φ = 41193360.

The previous prime is 72645649. The next prime is 72645673. The reversal of 72645657 is 75654627.

It is not a de Polignac number, because 72645657 - 2³ = 72645649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72645637) 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, 10453 + ... + 15954.

It is an arithmetic number, because the mean of its divisors is an integer number (6971712).

Almost surely, 2^72645657 is an apocalyptic number.

It is an amenable number.

72645657 is a deficient number, since it is larger than the sum of its proper divisors (38901735).

72645657 is a wasteful number, since it uses less digits than its factorization.

72645657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26548.

The product of its digits is 352800, while the sum is 42.

The square root of 72645657 is about 8523.2421648103. The cubic root of 72645657 is about 417.2566035623.

It can be divided in two parts, 7264 and 5657, that added together give a palindrome (12921).

The spelling of 72645657 in words is "seventy-two million, six hundred forty-five thousand, six hundred fifty-seven".