72630584 has 16 divisors (see below), whose sum is σ = 146658120. Its totient is φ = 33521760.

The previous prime is 72630581. The next prime is 72630589. The reversal of 72630584 is 48503627.

It is a happy number.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 349082 + ... + 349289.

Almost surely, 2^72630584 is an apocalyptic number.

It is an amenable number.

72630584 is an abundant number, since it is smaller than the sum of its proper divisors (74027536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72630584 is a wasteful number, since it uses less digits than its factorization.

72630584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698390 (or 698386 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 72630584 is about 8522.3578896923. The cubic root of 72630584 is about 417.2277431822.

The spelling of 72630584 in words is "seventy-two million, six hundred thirty thousand, five hundred eighty-four".