9072800 has 72 divisors (see below), whose sum is σ = 24185952. Its totient is φ = 3296000.

The previous prime is 9072799. The next prime is 9072827. The reversal of 9072800 is 82709.

It is a self number, because there is not a number n which added to its sum of digits gives 9072800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8285 + ... + 9315.

It is an arithmetic number, because the mean of its divisors is an integer number (335916).

Almost surely, 2^9072800 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 9072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12092976).

9072800 is an abundant number, since it is smaller than the sum of its proper divisors (15113152).

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

9072800 is a wasteful number, since it uses less digits than its factorization.

9072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 9072800 is about 3012.1088957739. The cubic root of 9072800 is about 208.5677290714.

The spelling of 9072800 in words is "nine million, seventy-two thousand, eight hundred".