72727992 has 48 divisors (see below), whose sum is σ = 198212040. Its totient is φ = 24090048.

The previous prime is 72727987. The next prime is 72728011. The reversal of 72727992 is 29972727.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8638 + ... + 14834.

Almost surely, 2^72727992 is an apocalyptic number.

72727992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72727992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99106020).

72727992 is an abundant number, since it is smaller than the sum of its proper divisors (125484048).

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

72727992 is a wasteful number, since it uses less digits than its factorization.

72727992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6372 (or 6365 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 72727992 is about 8528.0708252218. The cubic root of 72727992 is about 417.4141805510.

The spelling of 72727992 in words is "seventy-two million, seven hundred twenty-seven thousand, nine hundred ninety-two".