72204 has 24 divisors (see below), whose sum is σ = 184128. Its totient is φ = 21840.

The previous prime is 72173. The next prime is 72211. The reversal of 72204 is 40227.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142 + ... + 405.

It is an arithmetic number, because the mean of its divisors is an integer number (7672).

2⁷²²⁰⁴ is an apocalyptic number.

It is an amenable number.

72204 is an abundant number, since it is smaller than the sum of its proper divisors (111924).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92064).

72204 is a wasteful number, since it uses less digits than its factorization.

72204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 72204 is about 268.7080199771. The cubic root of 72204 is about 41.6409298839.

It can be divided in two parts, 72 and 204, that added together give a triangular number (276 = T₂₃).

The spelling of 72204 in words is "seventy-two thousand, two hundred four", and thus it is an iban number.