72118992 has 80 divisors (see below), whose sum is σ = 204933312. Its totient is φ = 21672960.

The previous prime is 72118987. The next prime is 72118999. The reversal of 72118992 is 29981127.

It is a super-2 number, since 2×72118992² = 10402298014192128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72118992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72118999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71838 + ... + 72834.

Almost surely, 2^72118992 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 72118992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102466656).

72118992 is an abundant number, since it is smaller than the sum of its proper divisors (132814320).

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

72118992 is a wasteful number, since it uses less digits than its factorization.

72118992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1150 counting only the distinct ones).

The product of its digits is 18144, while the sum is 39.

The square root of 72118992 is about 8492.2901504836. The cubic root of 72118992 is about 416.2458174872.

The spelling of 72118992 in words is "seventy-two million, one hundred eighteen thousand, nine hundred ninety-two".