90713472 has 64 divisors (see below), whose sum is σ = 251458560. Its totient is φ = 28920320.

The previous prime is 90713459. The next prime is 90713509. The reversal of 90713472 is 27431709.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 3697 + ... + 13967.

It is an arithmetic number, because the mean of its divisors is an integer number (3929040).

Almost surely, 2^90713472 is an apocalyptic number.

90713472 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90713472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125729280).

90713472 is an abundant number, since it is smaller than the sum of its proper divisors (160745088).

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

90713472 is a wasteful number, since it uses less digits than its factorization.

90713472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10311 (or 10299 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 90713472 is about 9524.3620258787. The cubic root of 90713472 is about 449.3215653381.

The spelling of 90713472 in words is "ninety million, seven hundred thirteen thousand, four hundred seventy-two".