198272 has 16 divisors (see below), whose sum is σ = 395250. Its totient is φ = 99072.

The previous prime is 198259. The next prime is 198277. The reversal of 198272 is 272891.

It is a happy number.

198272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 179776 + 18496 = 424^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (198277) by changing a digit.

198272 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 as a sum of consecutive naturals, namely, 647 + ... + 902.

2¹⁹⁸²⁷² is an apocalyptic number.

It is an amenable number.

198272 is a deficient number, since it is larger than the sum of its proper divisors (196978).

198272 is an equidigital number, since it uses as much as digits as its factorization.

198272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1551 counting only the distinct ones).

The product of its digits is 2016, while the sum is 29.

The square root of 198272 is about 445.2774416024. The cubic root of 198272 is about 58.3114439413.

The spelling of 198272 in words is "one hundred ninety-eight thousand, two hundred seventy-two".