5607200 has 72 divisors (see below), whose sum is σ = 14092848. Its totient is φ = 2177280.

The previous prime is 5607197. The next prime is 5607209. The reversal of 5607200 is 27065.

5607200 is digitally balanced in base 5, 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 (20).

It is not an unprimeable number, because it can be changed into a prime (5607209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34319 + ... + 34481.

It is an arithmetic number, because the mean of its divisors is an integer number (195734).

Almost surely, 2^5607200 is an apocalyptic number.

5607200 is a gapful number since it is divisible by the number (50) 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 5607200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046424).

5607200 is an abundant number, since it is smaller than the sum of its proper divisors (8485648).

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

5607200 is a wasteful number, since it uses less digits than its factorization.

5607200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 5607200 is about 2367.9527022303. The cubic root of 5607200 is about 177.6568738122.

The spelling of 5607200 in words is "five million, six hundred seven thousand, two hundred".