9000072 has 160 divisors (see below), whose sum is σ = 28749600. Its totient is φ = 2612736.

The previous prime is 9000067. The next prime is 9000119. The reversal of 9000072 is 2700009.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209283 + ... + 209325.

It is an arithmetic number, because the mean of its divisors is an integer number (179685).

Almost surely, 2^9000072 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 9000072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14374800).

9000072 is an abundant number, since it is smaller than the sum of its proper divisors (19749528).

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

9000072 is a wasteful number, since it uses less digits than its factorization.

9000072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 9000072 is about 3000.0119999760. The cubic root of 9000072 is about 208.0089369927.

It can be divided in two parts, 900007 and 2, that added together give a palindrome (900009).

The spelling of 9000072 in words is "nine million, seventy-two", and thus it is an aban number and an uban number.