72231936 has 88 divisors (see below), whose sum is σ = 220093440. Its totient is φ = 20631552.

The previous prime is 72231917. The next prime is 72231941. The reversal of 72231936 is 63913227.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72231897 and 72231906.

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, 19825 + ... + 23183.

Almost surely, 2^72231936 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 72231936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110046720).

72231936 is an abundant number, since it is smaller than the sum of its proper divisors (147861504).

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

72231936 is a wasteful number, since it uses less digits than its factorization.

72231936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389 (or 3371 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 72231936 is about 8498.9373453391. The cubic root of 72231936 is about 416.4629953572.

The spelling of 72231936 in words is "seventy-two million, two hundred thirty-one thousand, nine hundred thirty-six".