199200 has 72 divisors (see below), whose sum is σ = 656208. Its totient is φ = 52480.

The previous prime is 199193. The next prime is 199207. The reversal of 199200 is 2991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (199193) and next prime (199207).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (199207) by changing a digit.

199200 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 (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2359 + ... + 2441.

It is an arithmetic number, because the mean of its divisors is an integer number (9114).

2¹⁹⁹²⁰⁰ is an apocalyptic number.

199200 is a gapful number since it is divisible by the number (10) 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 199200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328104).

199200 is an abundant number, since it is smaller than the sum of its proper divisors (457008).

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

199200 is a wasteful number, since it uses less digits than its factorization.

199200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 199200 is about 446.3182720884. The cubic root of 199200 is about 58.4022767612.

The spelling of 199200 in words is "one hundred ninety-nine thousand, two hundred".