199272 has 48 divisors (see below), whose sum is σ = 548640. Its totient is φ = 60192.

The previous prime is 199267. The next prime is 199289. The reversal of 199272 is 272991.

It is a congruent number.

It is an unprimeable number.

199272 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8653 + ... + 8675.

It is an arithmetic number, because the mean of its divisors is an integer number (11430).

2¹⁹⁹²⁷² is an apocalyptic number.

199272 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 199272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274320).

199272 is an abundant number, since it is smaller than the sum of its proper divisors (349368).

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

199272 is a wasteful number, since it uses less digits than its factorization.

199272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its digits is 2268, while the sum is 30.

The square root of 199272 is about 446.3989247299. The cubic root of 199272 is about 58.4093123325.

The spelling of 199272 in words is "one hundred ninety-nine thousand, two hundred seventy-two".