7225200 has 150 divisors (see below), whose sum is σ = 26046944. Its totient is φ = 1918080.

The previous prime is 7225193. The next prime is 7225217. The reversal of 7225200 is 25227.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (150).

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, 32289 + ... + 32511.

Almost surely, 2^7225200 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 7225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13023472).

7225200 is an abundant number, since it is smaller than the sum of its proper divisors (18821744).

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

7225200 is a wasteful number, since it uses less digits than its factorization.

7225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 7225200 is about 2687.9732141523. The cubic root of 7225200 is about 193.3228954597.

The spelling of 7225200 in words is "seven million, two hundred twenty-five thousand, two hundred".