90058752 has 156 divisors (see below), whose sum is σ = 298152400. Its totient is φ = 25657344.

The previous prime is 90058733. The next prime is 90058763. The reversal of 90058752 is 25785009.

It is a super-2 number, since 2×90058752² = 16221157623595008, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257874 + ... + 258222.

Almost surely, 2^90058752 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 90058752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149076200).

90058752 is an abundant number, since it is smaller than the sum of its proper divisors (208093648).

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

90058752 is a wasteful number, since it uses less digits than its factorization.

90058752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 90058752 is about 9489.9289776057. The cubic root of 90058752 is about 448.2379688113.

The spelling of 90058752 in words is "ninety million, fifty-eight thousand, seven hundred fifty-two".