90107072 has 56 divisors (see below), whose sum is σ = 206562960. Its totient is φ = 38543360.

The previous prime is 90107011. The next prime is 90107081. The reversal of 90107072 is 27070109.

It is an alternating number because its digits alternate between odd and even.

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, 8204 + ... + 15732.

Almost surely, 2^90107072 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 90107072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103281480).

90107072 is an abundant number, since it is smaller than the sum of its proper divisors (116455888).

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

90107072 is a wasteful number, since it uses less digits than its factorization.

90107072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7569 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 90107072 is about 9492.4744929865. The cubic root of 90107072 is about 448.3181201412.

The spelling of 90107072 in words is "ninety million, one hundred seven thousand, seventy-two".