90972 has 54 divisors (see below), whose sum is σ = 277368. Its totient is φ = 24624.

The previous prime is 90971. The next prime is 90977. The reversal of 90972 is 27909.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90971) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4779 + ... + 4797.

2⁹⁰⁹⁷² 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 90972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138684).

90972 is an abundant number, since it is smaller than the sum of its proper divisors (186396).

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

90972 is a wasteful number, since it uses less digits than its factorization.

90972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 90972 is about 301.6156494614. The cubic root of 90972 is about 44.9748007062.

The spelling of 90972 in words is "ninety thousand, nine hundred seventy-two".