90072918 has 64 divisors (see below), whose sum is σ = 222566400. Its totient is φ = 26814240.

The previous prime is 90072889. The next prime is 90072929. The reversal of 90072918 is 81927009.

It is a happy number.

It is a super-2 number, since 2×90072918² = 16226261114069448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

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, 19693 + ... + 23831.

It is an arithmetic number, because the mean of its divisors is an integer number (3477600).

Almost surely, 2^90072918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90072918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111283200).

90072918 is an abundant number, since it is smaller than the sum of its proper divisors (132493482).

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

90072918 is a wasteful number, since it uses less digits than its factorization.

90072918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4194 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 90072918 is about 9490.6753184376. The cubic root of 90072918 is about 448.2614697890.

The spelling of 90072918 in words is "ninety million, seventy-two thousand, nine hundred eighteen".