72587648 has 32 divisors (see below), whose sum is σ = 165268560. Its totient is φ = 31108608.

The previous prime is 72587633. The next prime is 72587651. The reversal of 72587648 is 84678527.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39611 + ... + 41402.

Almost surely, 2^72587648 is an apocalyptic number.

It is an amenable number.

72587648 is an abundant number, since it is smaller than the sum of its proper divisors (92680912).

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

72587648 is an equidigital number, since it uses as much as digits as its factorization.

72587648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81034 (or 81022 counting only the distinct ones).

The product of its digits is 752640, while the sum is 47.

The square root of 72587648 is about 8519.8384961219. The cubic root of 72587648 is about 417.1455114254.

It can be divided in two parts, 7 and 2587648, that multiplied together give a square (18113536 = 4256²).

The spelling of 72587648 in words is "seventy-two million, five hundred eighty-seven thousand, six hundred forty-eight".