72504 has 48 divisors (see below), whose sum is σ = 210600. Its totient is φ = 22464.

The previous prime is 72503. The next prime is 72533. The reversal of 72504 is 40527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1342 + ... + 1394.

2⁷²⁵⁰⁴ 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 72504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105300).

72504 is an abundant number, since it is smaller than the sum of its proper divisors (138096).

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

72504 is a wasteful number, since it uses less digits than its factorization.

72504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 72504 is about 269.2656680678. The cubic root of 72504 is about 41.6985214182.

It can be divided in two parts, 72 and 504, that added together give a square (576 = 24²).

The spelling of 72504 in words is "seventy-two thousand, five hundred four".