90272 has 48 divisors (see below), whose sum is σ = 225792. Its totient is φ = 34560.

The previous prime is 90271. The next prime is 90281. The reversal of 90272 is 27209.

It is not an unprimeable number, because it can be changed into a prime (90271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2897 + ... + 2927.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

2⁹⁰²⁷² 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 90272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896).

90272 is an abundant number, since it is smaller than the sum of its proper divisors (135520).

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

90272 is a wasteful number, since it uses less digits than its factorization.

90272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 90272 is about 300.4529913314. The cubic root of 90272 is about 44.8591480647.

The spelling of 90272 in words is "ninety thousand, two hundred seventy-two".