90001072 has 40 divisors (see below), whose sum is σ = 201549600. Its totient is φ = 38134272.

The previous prime is 90001069. The next prime is 90001073. The reversal of 90001072 is 27010009.

It is a super-2 number, since 2×90001072² = 16200385922298368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90001073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5454 + ... + 14482.

It is an arithmetic number, because the mean of its divisors is an integer number (5038740).

Almost surely, 2^90001072 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 90001072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100774800).

90001072 is an abundant number, since it is smaller than the sum of its proper divisors (111548528).

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

90001072 is a wasteful number, since it uses less digits than its factorization.

90001072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9133 (or 9127 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 90001072 is about 9486.8894796978. The cubic root of 90001072 is about 448.1422539323.

The spelling of 90001072 in words is "ninety million, one thousand, seventy-two".