72492 has 24 divisors (see below), whose sum is σ = 193536. Its totient is φ = 20688.

The previous prime is 72481. The next prime is 72493. The reversal of 72492 is 29427.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72492.

It is not an unprimeable number, because it can be changed into a prime (72493) by changing a digit.

72492 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

2⁷²⁴⁹² is an apocalyptic number.

It is an amenable number.

72492 is an abundant number, since it is smaller than the sum of its proper divisors (121044).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768).

72492 is a wasteful number, since it uses less digits than its factorization.

72492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 875 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 72492 is about 269.2433843198. The cubic root of 72492 is about 41.6962208101.

The spelling of 72492 in words is "seventy-two thousand, four hundred ninety-two".