9072900 has 108 divisors (see below), whose sum is σ = 30162132. Its totient is φ = 2273280.

The previous prime is 9072893. The next prime is 9072901. The reversal of 9072900 is 92709.

9072900 = T₃₇₅ + T₃₇₆ + ... + T₄₇₄.

It can be written as a sum of positive squares in 6 ways, for example, as 36864 + 9036036 = 192^2 + 3006^2 .

It is not an unprimeable number, because it can be changed into a prime (9072901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15004 + ... + 15596.

It is an arithmetic number, because the mean of its divisors is an integer number (279279).

Almost surely, 2^9072900 is an apocalyptic number.

9072900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9072900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15081066).

9072900 is an abundant number, since it is smaller than the sum of its proper divisors (21089232).

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

9072900 is a wasteful number, since it uses less digits than its factorization.

9072900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 620 counting only the distinct ones).

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

The square root of 9072900 is about 3012.1254953936. The cubic root of 9072900 is about 208.5684953434.

The spelling of 9072900 in words is "nine million, seventy-two thousand, nine hundred".