7227200 has 42 divisors (see below), whose sum is σ = 17787366. Its totient is φ = 2890240.

The previous prime is 7227197. The next prime is 7227211. The reversal of 7227200 is 27227.

It can be written as a sum of positive squares in 3 ways, for example, as 87616 + 7139584 = 296^2 + 2672^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 659 + ... + 3858.

Almost surely, 2^7227200 is an apocalyptic number.

It is an amenable number.

7227200 is an abundant number, since it is smaller than the sum of its proper divisors (10560166).

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

7227200 is a wasteful number, since it uses less digits than its factorization.

7227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 7227200 is about 2688.3452159274. The cubic root of 7227200 is about 193.3407316498.

It can be divided in two parts, 722 and 7200, that multiplied together give a square (5198400 = 2280²).

The spelling of 7227200 in words is "seven million, two hundred twenty-seven thousand, two hundred".