5037200 has 90 divisors (see below), whose sum is σ = 14132466. Its totient is φ = 1720320.

The previous prime is 5037199. The next prime is 5037211. The reversal of 5037200 is 27305.

It can be written as a sum of positive squares in 3 ways, for example, as 1517824 + 3519376 = 1232^2 + 1876^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19472 + ... + 19728.

Almost surely, 2^5037200 is an apocalyptic number.

5037200 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 5037200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7066233).

5037200 is an abundant number, since it is smaller than the sum of its proper divisors (9095266).

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

5037200 is a wasteful number, since it uses less digits than its factorization.

5037200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 5037200 is about 2244.3707358634. The cubic root of 5037200 is about 171.4206213244.

The spelling of 5037200 in words is "five million, thirty-seven thousand, two hundred".