199687872 has 168 divisors, whose sum is σ = 579095616. Its totient is φ = 60673536.

The previous prime is 199687867. The next prime is 199687907. The reversal of 199687872 is 278786991.

199687872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2980383 + ... + 2980449.

Almost surely, 2^199687872 is an apocalyptic number.

199687872 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 199687872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289547808).

199687872 is an abundant number, since it is smaller than the sum of its proper divisors (379407744).

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

199687872 is a wasteful number, since it uses less digits than its factorization.

199687872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 134 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 57.

The square root of 199687872 is about 14131.0959235298. The cubic root of 199687872 is about 584.4991666417.

The spelling of 199687872 in words is "one hundred ninety-nine million, six hundred eighty-seven thousand, eight hundred seventy-two".