90502272 has 320 divisors, whose sum is σ = 325828800. Its totient is φ = 24385536.

The previous prime is 90502249. The next prime is 90502273. The reversal of 90502272 is 27220509.

It is a happy number.

90502272 is a `hidden beast` number, since 90 + 502 + 2 + 72 = 666.

It is a super-2 number, since 2×90502272² = 16381322474323968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90502273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2104683 + ... + 2104725.

It is an arithmetic number, because the mean of its divisors is an integer number (1018215).

Almost surely, 2^90502272 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 90502272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162914400).

90502272 is an abundant number, since it is smaller than the sum of its proper divisors (235326528).

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

90502272 is a wasteful number, since it uses less digits than its factorization.

90502272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 90502272 is about 9513.2682081396. The cubic root of 90502272 is about 448.9725894018.

The spelling of 90502272 in words is "ninety million, five hundred two thousand, two hundred seventy-two".