90039872 has 56 divisors (see below), whose sum is σ = 198680832. Its totient is φ = 40204800.

The previous prime is 90039863. The next prime is 90039881. The reversal of 90039872 is 27893009.

It is an interprime number because it is at equal distance from previous prime (90039863) and next prime (90039881).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24047 + ... + 27537.

It is an arithmetic number, because the mean of its divisors is an integer number (3547872).

Almost surely, 2^90039872 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 90039872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99340416).

90039872 is an abundant number, since it is smaller than the sum of its proper divisors (108640960).

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

90039872 is a wasteful number, since it uses less digits than its factorization.

90039872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 90039872 is about 9488.9341867251. The cubic root of 90039872 is about 448.2066436149.

The spelling of 90039872 in words is "ninety million, thirty-nine thousand, eight hundred seventy-two".