55200 has 72 divisors (see below), whose sum is σ = 187488. Its totient is φ = 14080.

The previous prime is 55171. The next prime is 55201. The reversal of 55200 is 255.

55200 is digitally balanced in base 2 and base 4, because in such bases 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 (12).

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55200.

It is not an unprimeable number, because it can be changed into a prime (55201) by changing a digit.

55200 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 11 ways as a sum of consecutive naturals, for example, 2389 + ... + 2411.

It is an arithmetic number, because the mean of its divisors is an integer number (2604).

2⁵⁵²⁰⁰ is an apocalyptic number.

55200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55200 is the 192-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

55200 is an abundant number, since it is smaller than the sum of its proper divisors (132288).

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

55200 is a wasteful number, since it uses less digits than its factorization.

55200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 12.

The square root of 55200 is about 234.9468024894. The cubic root of 55200 is about 38.0755652393.

Adding to 55200 its reverse (255), we get a palindrome (55455).

Subtracting from 55200 its reverse (255), we obtain a palindrome (54945).

The spelling of 55200 in words is "fifty-five thousand, two hundred".