292272 has 20 divisors (see below), whose sum is σ = 755160. Its totient is φ = 97408.

The previous prime is 292267. The next prime is 292283. The reversal of 292272 is 272292.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2¹⁰ + 9 + 2¹² + 2¹³ + 7⁵ + 2¹⁸ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 292272.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2997 + ... + 3092.

It is an arithmetic number, because the mean of its divisors is an integer number (37758).

2²⁹²²⁷² is an apocalyptic number.

It is an amenable number.

292272 is an abundant number, since it is smaller than the sum of its proper divisors (462888).

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

292272 is a wasteful number, since it uses less digits than its factorization.

292272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100 (or 6094 counting only the distinct ones).

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

The square root of 292272 is about 540.6218641528. The cubic root of 292272 is about 66.3634675897.

The spelling of 292272 in words is "two hundred ninety-two thousand, two hundred seventy-two".