72092992 has 56 divisors (see below), whose sum is σ = 152339040. Its totient is φ = 33753600.

The previous prime is 72092963. The next prime is 72093031. The reversal of 72092992 is 29929027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122523 + ... + 123109.

It is an arithmetic number, because the mean of its divisors is an integer number (2720340).

Almost surely, 2^72092992 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 72092992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76169520).

72092992 is an abundant number, since it is smaller than the sum of its proper divisors (80246048).

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

72092992 is a wasteful number, since it uses less digits than its factorization.

72092992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 72092992 is about 8490.7592122260. The cubic root of 72092992 is about 416.1957904797.

It can be divided in two parts, 7209 and 2992, that added together give a palindrome (10201).

The spelling of 72092992 in words is "seventy-two million, ninety-two thousand, nine hundred ninety-two".