72561504 has 96 divisors (see below), whose sum is σ = 202487040. Its totient is φ = 22702592.

The previous prime is 72561497. The next prime is 72561521. The reversal of 72561504 is 40516527.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 129994 + ... + 130550.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 2^72561504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72561504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

72561504 is an abundant number, since it is smaller than the sum of its proper divisors (129925536).

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

72561504 is a wasteful number, since it uses less digits than its factorization.

72561504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 72561504 is about 8518.3040565596. The cubic root of 72561504 is about 417.0954241074.

The spelling of 72561504 in words is "seventy-two million, five hundred sixty-one thousand, five hundred four".