72400332 has 24 divisors (see below), whose sum is σ = 172123056. Its totient is φ = 23677888.

The previous prime is 72400259. The next prime is 72400357. The reversal of 72400332 is 23300427.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72400299 and 72400308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56283 + ... + 57554.

It is an arithmetic number, because the mean of its divisors is an integer number (7171794).

Almost surely, 2^72400332 is an apocalyptic number.

It is an amenable number.

72400332 is an abundant number, since it is smaller than the sum of its proper divisors (99722724).

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

72400332 is a wasteful number, since it uses less digits than its factorization.

72400332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113897 (or 113895 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 72400332 is about 8508.8384636212. The cubic root of 72400332 is about 416.7863808189.

Adding to 72400332 its reverse (23300427), we get a palindrome (95700759).

The spelling of 72400332 in words is "seventy-two million, four hundred thousand, three hundred thirty-two".