90072576 has 120 divisors (see below), whose sum is σ = 283747464. Its totient is φ = 27279360.

The previous prime is 90072569. The next prime is 90072611. The reversal of 90072576 is 67527009.

It is a super-2 number, since 2×90072576² = 16226137894551552, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90072576.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49800 + ... + 51576.

Almost surely, 2^90072576 is an apocalyptic number.

90072576 is a gapful number since it is divisible by the number (96) 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 90072576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141873732).

90072576 is an abundant number, since it is smaller than the sum of its proper divisors (193674888).

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

90072576 is a wasteful number, since it uses less digits than its factorization.

90072576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 90072576 is about 9490.6573007353. The cubic root of 90072576 is about 448.2609024501.

The spelling of 90072576 in words is "ninety million, seventy-two thousand, five hundred seventy-six".