90075712 has 56 divisors (see below), whose sum is σ = 185879232. Its totient is φ = 43276800.

The previous prime is 90075709. The next prime is 90075757. The reversal of 90075712 is 21757009.

It is a super-2 number, since 2×90075712² = 16227267784613888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195162 + ... + 195622.

It is an arithmetic number, because the mean of its divisors is an integer number (3319272).

Almost surely, 2^90075712 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 90075712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92939616).

90075712 is an abundant number, since it is smaller than the sum of its proper divisors (95803520).

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

90075712 is a wasteful number, since it uses less digits than its factorization.

90075712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 90075712 is about 9490.8225144083. The cubic root of 90075712 is about 448.2661046620.

The spelling of 90075712 in words is "ninety million, seventy-five thousand, seven hundred twelve".