90372 has 24 divisors (see below), whose sum is σ = 223776. Its totient is φ = 28288.

The previous prime is 90371. The next prime is 90373. The reversal of 90372 is 27309.

It is an interprime number because it is at equal distance from previous prime (90371) and next prime (90373).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90372.

It is not an unprimeable number, because it can be changed into a prime (90371) 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, 18 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (9324).

2⁹⁰³⁷² 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 90372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111888).

90372 is an abundant number, since it is smaller than the sum of its proper divisors (133404).

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

90372 is a wasteful number, since it uses less digits than its factorization.

90372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

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

The square root of 90372 is about 300.6193606540. The cubic root of 90372 is about 44.8757063899.

The spelling of 90372 in words is "ninety thousand, three hundred seventy-two".