199872 has 42 divisors (see below), whose sum is σ = 574548. Its totient is φ = 66432.

The previous prime is 199853. The next prime is 199873. The reversal of 199872 is 278991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (199873) by changing a digit.

199872 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 5 ways as a sum of consecutive naturals, for example, 403 + ... + 749.

2¹⁹⁹⁸⁷² is an apocalyptic number.

199872 is a gapful number since it is divisible by the number (12) 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 199872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287274).

199872 is an abundant number, since it is smaller than the sum of its proper divisors (374676).

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

199872 is a wasteful number, since it uses less digits than its factorization.

199872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 199872 is about 447.0704642447. The cubic root of 199872 is about 58.4678762928.

The spelling of 199872 in words is "one hundred ninety-nine thousand, eight hundred seventy-two".