72224256 has 80 divisors (see below), whose sum is σ = 207267984. Its totient is φ = 22216704.

The previous prime is 72224237. The next prime is 72224291. The reversal of 72224256 is 65242227.

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, 18160 + ... + 21776.

Almost surely, 2^72224256 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 72224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103633992).

72224256 is an abundant number, since it is smaller than the sum of its proper divisors (135043728).

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

72224256 is a wasteful number, since it uses less digits than its factorization.

72224256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3635 counting only the distinct ones).

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

The square root of 72224256 is about 8498.4855121369. The cubic root of 72224256 is about 416.4482348078.

The spelling of 72224256 in words is "seventy-two million, two hundred twenty-four thousand, two hundred fifty-six".