90732 has 12 divisors (see below), whose sum is σ = 211736. Its totient is φ = 30240.

The previous prime is 90731. The next prime is 90749. The reversal of 90732 is 23709.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 90699 and 90708.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90732.

It is not an unprimeable number, because it can be changed into a prime (90731) 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, 3769 + ... + 3792.

2⁹⁰⁷³² is an apocalyptic number.

It is an amenable number.

90732 is an abundant number, since it is smaller than the sum of its proper divisors (121004).

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 (105868).

90732 is a wasteful number, since it uses less digits than its factorization.

90732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568 (or 7566 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 90732 is about 301.2175293704. The cubic root of 90732 is about 44.9352154191.

It can be divided in two parts, 907 and 32, that added together give a palindrome (939).

The spelling of 90732 in words is "ninety thousand, seven hundred thirty-two".