7221200 has 60 divisors (see below), whose sum is σ = 19835040. Its totient is φ = 2474880.

The previous prime is 7221199. The next prime is 7221251. The reversal of 7221200 is 21227.

7221200 = 56² + 57² + ... + 279².

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1511 + ... + 4089.

It is an arithmetic number, because the mean of its divisors is an integer number (330584).

Almost surely, 2^7221200 is an apocalyptic number.

7221200 is a gapful number since it is divisible by the number (70) 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 7221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9917520).

7221200 is an abundant number, since it is smaller than the sum of its proper divisors (12613840).

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

7221200 is a wasteful number, since it uses less digits than its factorization.

7221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 7221200 is about 2687.2290561097. The cubic root of 7221200 is about 193.2872132028.

Adding to 7221200 its reverse (21227), we get a palindrome (7242427).

The spelling of 7221200 in words is "seven million, two hundred twenty-one thousand, two hundred".