9000729 has 6 divisors (see below), whose sum is σ = 13001066. Its totient is φ = 6000480.

The previous prime is 9000721. The next prime is 9000743. The reversal of 9000729 is 9270009.

9000729 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9000000 + 729 = 3000^2 + 27^2 .

It is not a de Polignac number, because 9000729 - 2³ = 9000721 is a prime.

It is a Duffinian number.

9000729 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9000721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500032 + ... + 500049.

Almost surely, 2^9000729 is an apocalyptic number.

It is an amenable number.

9000729 is a deficient number, since it is larger than the sum of its proper divisors (4000337).

9000729 is a wasteful number, since it uses less digits than its factorization.

9000729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000087 (or 1000084 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 9000729 is about 3000.1214975397. The cubic root of 9000729 is about 208.0139983799.

The spelling of 9000729 in words is "nine million, seven hundred twenty-nine", and thus it is an aban number.