7007200 has 72 divisors (see below), whose sum is σ = 18045720. Its totient is φ = 2649600.

The previous prime is 7007191. The next prime is 7007227. The reversal of 7007200 is 27007.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 14970 + ... + 15430.

It is an arithmetic number, because the mean of its divisors is an integer number (250635).

Almost surely, 2^7007200 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 7007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9022860).

7007200 is an abundant number, since it is smaller than the sum of its proper divisors (11038520).

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

7007200 is a wasteful number, since it uses less digits than its factorization.

7007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 16.

The square root of 7007200 is about 2647.1116334601. Note that the first 3 decimals coincide. The cubic root of 7007200 is about 191.3586820154.

The spelling of 7007200 in words is "seven million, seven thousand, two hundred".