199380272 has 80 divisors (see below), whose sum is σ = 488427072. Its totient is φ = 76723200.

The previous prime is 199380263. The next prime is 199380277. The reversal of 199380272 is 272083991.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (199380277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52022 + ... + 55722.

Almost surely, 2^199380272 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 199380272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244213536).

199380272 is an abundant number, since it is smaller than the sum of its proper divisors (289046800).

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

199380272 is a wasteful number, since it uses less digits than its factorization.

199380272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 199380272 is about 14120.2079304803. The cubic root of 199380272 is about 584.1988907856.

The spelling of 199380272 in words is "one hundred ninety-nine million, three hundred eighty thousand, two hundred seventy-two".