90388272 has 80 divisors (see below), whose sum is σ = 257671008. Its totient is φ = 27125760.

The previous prime is 90388253. The next prime is 90388307. The reversal of 90388272 is 27288309.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 90388272.

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 15 ways as a sum of consecutive naturals, for example, 23818 + ... + 27350.

Almost surely, 2^90388272 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 90388272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128835504).

90388272 is an abundant number, since it is smaller than the sum of its proper divisors (167282736).

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

90388272 is a wasteful number, since it uses less digits than its factorization.

90388272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 90388272 is about 9507.2746883636. The cubic root of 90388272 is about 448.7839960485.

The spelling of 90388272 in words is "ninety million, three hundred eighty-eight thousand, two hundred seventy-two".