72604512 has 72 divisors (see below), whose sum is σ = 214139016. Its totient is φ = 24198912.

The previous prime is 72604507. The next prime is 72604513. The reversal of 72604512 is 21540627.

72604512 is a `hidden beast` number, since 7 + 2 + 604 + 51 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72604513) 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 11 ways as a sum of consecutive naturals, for example, 3108 + ... + 12444.

It is an arithmetic number, because the mean of its divisors is an integer number (2974153).

Almost surely, 2^72604512 is an apocalyptic number.

72604512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72604512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107069508).

72604512 is an abundant number, since it is smaller than the sum of its proper divisors (141534504).

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

72604512 is an equidigital number, since it uses as much as digits as its factorization.

72604512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9362 (or 9342 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72604512 is about 8520.8281287678. The cubic root of 72604512 is about 417.1778135107.

The spelling of 72604512 in words is "seventy-two million, six hundred four thousand, five hundred twelve".