72488192 has 72 divisors (see below), whose sum is σ = 174148800. Its totient is φ = 29417472.

The previous prime is 72488189. The next prime is 72488263. The reversal of 72488192 is 29188427.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32984 + ... + 35112.

Almost surely, 2^72488192 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 72488192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87074400).

72488192 is an abundant number, since it is smaller than the sum of its proper divisors (101660608).

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

72488192 is a wasteful number, since it uses less digits than its factorization.

72488192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2157 counting only the distinct ones).

The product of its digits is 64512, while the sum is 41.

The square root of 72488192 is about 8513.9997650928. Note that the first 3 decimals coincide. The cubic root of 72488192 is about 416.9549069739.

The spelling of 72488192 in words is "seventy-two million, four hundred eighty-eight thousand, one hundred ninety-two".