90666072 has 144 divisors (see below), whose sum is σ = 295214400. Its totient is φ = 25038720.

The previous prime is 90666071. The next prime is 90666097. The reversal of 90666072 is 27066609.

It is a super-2 number, since 2×90666072² = 16440673223818368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90666071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108954 + ... + 109782.

It is an arithmetic number, because the mean of its divisors is an integer number (2050100).

Almost surely, 2^90666072 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 90666072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147607200).

90666072 is an abundant number, since it is smaller than the sum of its proper divisors (204548328).

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

90666072 is a wasteful number, since it uses less digits than its factorization.

90666072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 90666072 is about 9521.8733450934. The cubic root of 90666072 is about 449.2432912136.

It can be divided in two parts, 9066607 and 2, that added together give a palindrome (9066609).

The spelling of 90666072 in words is "ninety million, six hundred sixty-six thousand, seventy-two".