3007200 has 144 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 683520.

The previous prime is 3007189. The next prime is 3007219. The reversal of 3007200 is 27003.

3007200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16711 + ... + 16889.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

Almost surely, 2^3007200 is an apocalyptic number.

3007200 is a gapful number since it is divisible by the number (30) 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 3007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

3007200 is an abundant number, since it is smaller than the sum of its proper divisors (8242080).

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

3007200 is a wasteful number, since it uses less digits than its factorization.

3007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 3007200 is about 1734.1280229556. The cubic root of 3007200 is about 144.3402448153.

The spelling of 3007200 in words is "three million, seven thousand, two hundred".