9901072 has 40 divisors (see below), whose sum is σ = 20590200. Its totient is φ = 4595712.

The previous prime is 9901069. The next prime is 9901097. The reversal of 9901072 is 2701099.

It can be written as a sum of positive squares in 4 ways, for example, as 3326976 + 6574096 = 1824^2 + 2564^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9901072.

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, 24004 + ... + 24412.

It is an arithmetic number, because the mean of its divisors is an integer number (514755).

Almost surely, 2^9901072 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 9901072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10295100).

9901072 is an abundant number, since it is smaller than the sum of its proper divisors (10689128).

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

9901072 is a wasteful number, since it uses less digits than its factorization.

9901072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 9901072 is about 3146.5968918818. The cubic root of 9901072 is about 214.7306668904.

The spelling of 9901072 in words is "nine million, nine hundred one thousand, seventy-two".