72630585 has 24 divisors (see below), whose sum is σ = 126147840. Its totient is φ = 38657952.

The previous prime is 72630581. The next prime is 72630589. The reversal of 72630585 is 58503627.

72630585 is a `hidden beast` number, since 72 + 6 + 3 + 0 + 585 = 666.

It is an interprime number because it is at equal distance from previous prime (72630581) and next prime (72630589).

It is not a de Polignac number, because 72630585 - 2² = 72630581 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72630581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25986 + ... + 28644.

It is an arithmetic number, because the mean of its divisors is an integer number (5256160).

Almost surely, 2^72630585 is an apocalyptic number.

It is an amenable number.

72630585 is a deficient number, since it is larger than the sum of its proper divisors (53517255).

72630585 is a wasteful number, since it uses less digits than its factorization.

72630585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 72630585 is about 8522.3579483615. The cubic root of 72630585 is about 417.2277450970.

The spelling of 72630585 in words is "seventy-two million, six hundred thirty thousand, five hundred eighty-five".