90672 has 20 divisors (see below), whose sum is σ = 234360. Its totient is φ = 30208.

The previous prime is 90659. The next prime is 90677. The reversal of 90672 is 27609.

It is a super-3 number, since 3×90672³ = 2236355493433344, which contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (90677) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 897 + ... + 992.

It is an arithmetic number, because the mean of its divisors is an integer number (11718).

2⁹⁰⁶⁷² is an apocalyptic number.

It is an amenable number.

90672 is an abundant number, since it is smaller than the sum of its proper divisors (143688).

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 (117180).

90672 is a wasteful number, since it uses less digits than its factorization.

90672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 90672 is about 301.1179171023. The cubic root of 90672 is about 44.9253081926.

The spelling of 90672 in words is "ninety thousand, six hundred seventy-two".