198772 has 24 divisors (see below), whose sum is σ = 412160. Its totient is φ = 82080.

The previous prime is 198769. The next prime is 198811. The reversal of 198772 is 277891.

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 754 + ... + 982.

2¹⁹⁸⁷⁷² 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 198772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206080).

198772 is an abundant number, since it is smaller than the sum of its proper divisors (213388).

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

198772 is a wasteful number, since it uses less digits than its factorization.

198772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 269 counting only the distinct ones).

The product of its digits is 7056, while the sum is 34.

The square root of 198772 is about 445.8385357952. The cubic root of 198772 is about 58.3604191674.

The spelling of 198772 in words is "one hundred ninety-eight thousand, seven hundred seventy-two".