72292 has 24 divisors (see below), whose sum is σ = 145152. Its totient is φ = 31200.

The previous prime is 72287. The next prime is 72307. The reversal of 72292 is 29227.

It is a super-2 number, since 2×72292² = 10452266528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1338 + ... + 1390.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2⁷²²⁹² is an apocalyptic number.

It is an amenable number.

72292 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (72576).

72292 is a wasteful number, since it uses less digits than its factorization.

72292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 97 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 72292 is about 268.8717166234. The cubic root of 72292 is about 41.6578399080.

The spelling of 72292 in words is "seventy-two thousand, two hundred ninety-two".