199999872 has 96 divisors (see below), whose sum is σ = 580125000. Its totient is φ = 66134016.

The previous prime is 199999853. The next prime is 199999889. The reversal of 199999872 is 278999991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 159504 + ... + 160752.

Almost surely, 2^199999872 is an apocalyptic number.

199999872 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 199999872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290062500).

199999872 is an abundant number, since it is smaller than the sum of its proper divisors (380125128).

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

199999872 is a wasteful number, since it uses less digits than its factorization.

199999872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1393 counting only the distinct ones).

The product of its digits is 6613488, while the sum is 63.

The square root of 199999872 is about 14142.1310982468. The cubic root of 199999872 is about 584.8034228845.

The spelling of 199999872 in words is "one hundred ninety-nine million, nine hundred ninety-nine thousand, eight hundred seventy-two".