72004512 has 48 divisors (see below), whose sum is σ = 189538272. Its totient is φ = 23934720.

The previous prime is 72004511. The next prime is 72004531. The reversal of 72004512 is 21540027.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (72004511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43443 + ... + 45069.

It is an arithmetic number, because the mean of its divisors is an integer number (3948714).

Almost surely, 2^72004512 is an apocalyptic number.

It is an amenable number.

72004512 is an abundant number, since it is smaller than the sum of its proper divisors (117533760).

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

72004512 is a wasteful number, since it uses less digits than its factorization.

72004512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 72004512 is about 8485.5472422231. The cubic root of 72004512 is about 416.0254545568.

Adding to 72004512 its reverse (21540027), we get a palindrome (93544539).

The spelling of 72004512 in words is "seventy-two million, four thousand, five hundred twelve".