199683072 has 132 divisors (see below), whose sum is σ = 590125536. Its totient is φ = 65003520.

The previous prime is 199683061. The next prime is 199683083. The reversal of 199683072 is 270386991.

199683072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199683061) and next prime (199683083).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 432922 + ... + 433382.

It is an arithmetic number, because the mean of its divisors is an integer number (4470648).

Almost surely, 2^199683072 is an apocalyptic number.

199683072 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 199683072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295062768).

199683072 is an abundant number, since it is smaller than the sum of its proper divisors (390442464).

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

199683072 is a wasteful number, since it uses less digits than its factorization.

199683072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 199683072 is about 14130.9260843018. The cubic root of 199683072 is about 584.4944833019.

The spelling of 199683072 in words is "one hundred ninety-nine million, six hundred eighty-three thousand, seventy-two".