72627637 has 16 divisors (see below), whose sum is σ = 76979200. Its totient is φ = 68428800.

The previous prime is 72627631. The next prime is 72627647. The reversal of 72627637 is 73672627.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72627637 - 2⁷ = 72627509 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72627637.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72627631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364864 + ... + 365062.

It is an arithmetic number, because the mean of its divisors is an integer number (4811200).

Almost surely, 2^72627637 is an apocalyptic number.

It is an amenable number.

72627637 is a deficient number, since it is larger than the sum of its proper divisors (4351563).

72627637 is a wasteful number, since it uses less digits than its factorization.

72627637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484.

The product of its digits is 148176, while the sum is 40.

The square root of 72627637 is about 8522.1849897781. The cubic root of 72627637 is about 417.2221000737. Note that the first 3 decimals are identical.

The spelling of 72627637 in words is "seventy-two million, six hundred twenty-seven thousand, six hundred thirty-seven".