72227792 has 80 divisors (see below), whose sum is σ = 174155520. Its totient is φ = 28256256.

The previous prime is 72227789. The next prime is 72227801. The reversal of 72227792 is 29772227.

It is a congruent number.

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, 164309 + ... + 164747.

It is an arithmetic number, because the mean of its divisors is an integer number (2176944).

Almost surely, 2^72227792 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 72227792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87077760).

72227792 is an abundant number, since it is smaller than the sum of its proper divisors (101927728).

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

72227792 is a wasteful number, since it uses less digits than its factorization.

72227792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 574 counting only the distinct ones).

The product of its digits is 49392, while the sum is 38.

The square root of 72227792 is about 8498.6935466576. The cubic root of 72227792 is about 416.4550309407.

The spelling of 72227792 in words is "seventy-two million, two hundred twenty-seven thousand, seven hundred ninety-two".