195200 has 48 divisors (see below), whose sum is σ = 490110. Its totient is φ = 76800.

The previous prime is 195197. The next prime is 195203. The reversal of 195200 is 2591.

It is an interprime number because it is at equal distance from previous prime (195197) and next prime (195203).

It can be written as a sum of positive squares in 3 ways, for example, as 87616 + 107584 = 296^2 + 328^2 .

It is not an unprimeable number, because it can be changed into a prime (195203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3170 + ... + 3230.

2¹⁹⁵²⁰⁰ is an apocalyptic number.

195200 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 195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245055).

195200 is an abundant number, since it is smaller than the sum of its proper divisors (294910).

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

195200 is an equidigital number, since it uses as much as digits as its factorization.

195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 195200 is about 441.8144406875. The cubic root of 195200 is about 58.0087184674.

Adding to 195200 its reverse (2591), we get a palindrome (197791).

The spelling of 195200 in words is "one hundred ninety-five thousand, two hundred".