72804504 has 128 divisors (see below), whose sum is σ = 202752000. Its totient is φ = 21700224.

The previous prime is 72804503. The next prime is 72804521. The reversal of 72804504 is 40540827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72804503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 921537 + ... + 921615.

It is an arithmetic number, because the mean of its divisors is an integer number (1584000).

Almost surely, 2^72804504 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 72804504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101376000).

72804504 is an abundant number, since it is smaller than the sum of its proper divisors (129947496).

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

72804504 is a wasteful number, since it uses less digits than its factorization.

72804504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 72804504 is about 8532.5555374694. Note that the first 4 decimals coincide. The cubic root of 72804504 is about 417.5605066070.

The spelling of 72804504 in words is "seventy-two million, eight hundred four thousand, five hundred four".