9007200 has 180 divisors, whose sum is σ = 33083820. Its totient is φ = 2384640.

The previous prime is 9007189. The next prime is 9007211. The reversal of 9007200 is 27009.

It is an interprime number because it is at equal distance from previous prime (9007189) and next prime (9007211).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×9007200² = 162259303680000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64731 + ... + 64869.

It is an arithmetic number, because the mean of its divisors is an integer number (183799).

Almost surely, 2^9007200 is an apocalyptic number.

9007200 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 9007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16541910).

9007200 is an abundant number, since it is smaller than the sum of its proper divisors (24076620).

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

9007200 is a wasteful number, since it uses less digits than its factorization.

9007200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

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

The square root of 9007200 is about 3001.1997600960. The cubic root of 9007200 is about 208.0638364220.

It can be divided in two parts, 900 and 7200, that added together give a square (8100 = 90²).

The spelling of 9007200 in words is "nine million, seven thousand, two hundred".