199366272 has 320 divisors, whose sum is σ = 704975040. Its totient is φ = 54743040.

The previous prime is 199366261. The next prime is 199366273. The reversal of 199366272 is 272663991.

It is a happy number.

199366272 is a `hidden beast` number, since 19 + 9 + 3 + 6 + 627 + 2 = 666.

It is a super-2 number, since 2×199366272² = 79493820822355968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (199366273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2975583 + ... + 2975649.

It is an arithmetic number, because the mean of its divisors is an integer number (2203047).

Almost surely, 2^199366272 is an apocalyptic number.

199366272 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 199366272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352487520).

199366272 is an abundant number, since it is smaller than the sum of its proper divisors (505608768).

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

199366272 is an equidigital number, since it uses as much as digits as its factorization.

199366272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 199366272 is about 14119.7121783696. The cubic root of 199366272 is about 584.1852167883.

It can be divided in two parts, 1993 and 66272, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 199366272 in words is "one hundred ninety-nine million, three hundred sixty-six thousand, two hundred seventy-two".