72997992 has 48 divisors (see below), whose sum is σ = 198490500. Its totient is φ = 24235776.

The previous prime is 72997987. The next prime is 72997993. The reversal of 72997992 is 29979927.

It can be written as a sum of positive squares in 2 ways, for example, as 72488196 + 509796 = 8514^2 + 714^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72997993) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17484 + ... + 21252.

Almost surely, 2^72997992 is an apocalyptic number.

72997992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72997992 is an abundant number, since it is smaller than the sum of its proper divisors (125492508).

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

72997992 is a wasteful number, since it uses less digits than its factorization.

72997992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4043 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 54.

The square root of 72997992 is about 8543.8862351977. The cubic root of 72997992 is about 417.9300875879.

The spelling of 72997992 in words is "seventy-two million, nine hundred ninety-seven thousand, nine hundred ninety-two".