90837072 has 80 divisors (see below), whose sum is σ = 267830080. Its totient is φ = 29455488.

The previous prime is 90837067. The next prime is 90837073. The reversal of 90837072 is 27073809.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90837073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13143 + ... + 18825.

It is an arithmetic number, because the mean of its divisors is an integer number (3347876).

Almost surely, 2^90837072 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 90837072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133915040).

90837072 is an abundant number, since it is smaller than the sum of its proper divisors (176993008).

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

90837072 is a wasteful number, since it uses less digits than its factorization.

90837072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5737 (or 5725 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 90837072 is about 9530.8484407213. The cubic root of 90837072 is about 449.5255443800.

90837072 divided by its sum of digits (36) gives a palindrome (2523252).

The spelling of 90837072 in words is "ninety million, eight hundred thirty-seven thousand, seventy-two".