90535872 has 224 divisors, whose sum is σ = 294948864. Its totient is φ = 23961600.

The previous prime is 90535859. The next prime is 90535901. The reversal of 90535872 is 27853509.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 90535872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1708198 + ... + 1708250.

It is an arithmetic number, because the mean of its divisors is an integer number (1316736).

Almost surely, 2^90535872 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 90535872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147474432).

90535872 is an abundant number, since it is smaller than the sum of its proper divisors (204412992).

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

90535872 is a wasteful number, since it uses less digits than its factorization.

90535872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 90535872 is about 9515.0339988883. The cubic root of 90535872 is about 449.0281445909.

The spelling of 90535872 in words is "ninety million, five hundred thirty-five thousand, eight hundred seventy-two".