5235200 has 60 divisors (see below), whose sum is σ = 13002330. Its totient is φ = 2088960.

The previous prime is 5235199. The next prime is 5235229. The reversal of 5235200 is 25325.

It can be written as a sum of positive squares in 3 ways, for example, as 4804864 + 430336 = 2192^2 + 656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12596 + ... + 13004.

Almost surely, 2^5235200 is an apocalyptic number.

5235200 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 5235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501165).

5235200 is an abundant number, since it is smaller than the sum of its proper divisors (7767130).

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

5235200 is an equidigital number, since it uses as much as digits as its factorization.

5235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 5235200 is about 2288.0559433720. The cubic root of 5235200 is about 173.6378604591.

The spelling of 5235200 in words is "five million, two hundred thirty-five thousand, two hundred".