199117872 has 160 divisors (see below), whose sum is σ = 637459200. Its totient is φ = 59139072.

The previous prime is 199117859. The next prime is 199117879. The reversal of 199117872 is 278711991.

It is a happy number.

199117872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (199117879) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138823 + ... + 140249.

It is an arithmetic number, because the mean of its divisors is an integer number (3984120).

Almost surely, 2^199117872 is an apocalyptic number.

199117872 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 199117872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318729600).

199117872 is an abundant number, since it is smaller than the sum of its proper divisors (438341328).

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

199117872 is a wasteful number, since it uses less digits than its factorization.

199117872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1468 counting only the distinct ones).

The product of its digits is 63504, while the sum is 45.

The square root of 199117872 is about 14110.9132234594. The cubic root of 199117872 is about 583.9424944941.

The spelling of 199117872 in words is "one hundred ninety-nine million, one hundred seventeen thousand, eight hundred seventy-two".