72204456 has 64 divisors (see below), whose sum is σ = 188282880. Its totient is φ = 23048640.

The previous prime is 72204437. The next prime is 72204463. The reversal of 72204456 is 65440227.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79155 + ... + 80061.

It is an arithmetic number, because the mean of its divisors is an integer number (2941920).

Almost surely, 2^72204456 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 72204456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94141440).

72204456 is an abundant number, since it is smaller than the sum of its proper divisors (116078424).

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

72204456 is a wasteful number, since it uses less digits than its factorization.

72204456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 72204456 is about 8497.3205188459. The cubic root of 72204456 is about 416.4101754396.

The spelling of 72204456 in words is "seventy-two million, two hundred four thousand, four hundred fifty-six".