36200 has 24 divisors (see below), whose sum is σ = 84630. Its totient is φ = 14400.

The previous prime is 36191. The next prime is 36209. The reversal of 36200 is 263.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36191) and next prime (36209).

It can be written as a sum of positive squares in 3 ways, for example, as 14884 + 21316 = 122^2 + 146^2 .

It is not an unprimeable number, because it can be changed into a prime (36209) by changing a digit.

36200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110 + ... + 290.

2³⁶²⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42315).

36200 is an abundant number, since it is smaller than the sum of its proper divisors (48430).

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

36200 is a wasteful number, since it uses less digits than its factorization.

36200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 36200 is about 190.2629759044. The cubic root of 36200 is about 33.0803064032.

Adding to 36200 its reverse (263), we get a palindrome (36463).

Subtracting from 36200 its reverse (263), we obtain a cube (35937 = 33³).

The spelling of 36200 in words is "thirty-six thousand, two hundred".