52200 has 72 divisors (see below), whose sum is σ = 181350. Its totient is φ = 13440.

The previous prime is 52189. The next prime is 52201. The reversal of 52200 is 225.

It can be written as a sum of positive squares in 3 ways, for example, as 39204 + 12996 = 198^2 + 114^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52200.

It is not an unprimeable number, because it can be changed into a prime (52201) by changing a digit.

52200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1786 + ... + 1814.

2⁵²²⁰⁰ is an apocalyptic number.

52200 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 52200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90675).

52200 is an abundant number, since it is smaller than the sum of its proper divisors (129150).

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

52200 is a wasteful number, since it uses less digits than its factorization.

52200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 52200 is about 228.4731931759. The cubic root of 52200 is about 37.3729030564.

Adding to 52200 its reverse (225), we get a palindrome (52425).

52200 divided by its reverse (225) gives a palindrome (232).

It can be divided in two parts, 52 and 200, that added together give a palindrome (252).

The spelling of 52200 in words is "fifty-two thousand, two hundred".