72576504 has 384 divisors, whose sum is σ = 283046400. Its totient is φ = 16174080.

The previous prime is 72576503. The next prime is 72576509. The reversal of 72576504 is 40567527.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72576503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1369342 + ... + 1369394.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^72576504 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 72576504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

72576504 is an abundant number, since it is smaller than the sum of its proper divisors (210469896).

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

72576504 is a wasteful number, since it uses less digits than its factorization.

72576504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 72576504 is about 8519.1844680110. The cubic root of 72576504 is about 417.1241629471.

It can be divided in two parts, 72576 and 504, that multiplied together give a square (36578304 = 6048²).

The spelling of 72576504 in words is "seventy-two million, five hundred seventy-six thousand, five hundred four".