5075200 has 108 divisors (see below), whose sum is σ = 13749988. Its totient is φ = 1843200.

The previous prime is 5075177. The next prime is 5075207. The reversal of 5075200 is 25705.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1806336 + 3268864 = 1344^2 + 1808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5075207) 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, 83170 + ... + 83230.

Almost surely, 2^5075200 is an apocalyptic number.

5075200 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 5075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874994).

5075200 is an abundant number, since it is smaller than the sum of its proper divisors (8674788).

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

5075200 is a wasteful number, since it uses less digits than its factorization.

5075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 5075200 is about 2252.8204544526. The cubic root of 5075200 is about 171.8506003931.

The spelling of 5075200 in words is "five million, seventy-five thousand, two hundred".