9005072 has 20 divisors (see below), whose sum is σ = 17695296. Its totient is φ = 4438560.

The previous prime is 9005057. The next prime is 9005081. The reversal of 9005072 is 2705009.

9005072 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2828 + ... + 5099.

Almost surely, 2^9005072 is an apocalyptic number.

It is an amenable number.

9005072 is a deficient number, since it is larger than the sum of its proper divisors (8690224).

9005072 is a wasteful number, since it uses less digits than its factorization.

9005072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8006 (or 8000 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 9005072 is about 3000.8452142688. The cubic root of 9005072 is about 208.0474497270.

The spelling of 9005072 in words is "nine million, five thousand, seventy-two".