199907172 has 72 divisors (see below), whose sum is σ = 523242720. Its totient is φ = 64310400.

The previous prime is 199907171. The next prime is 199907177. The reversal of 199907172 is 271709991.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (199907171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137047 + ... + 138497.

It is an arithmetic number, because the mean of its divisors is an integer number (7267260).

Almost surely, 2^199907172 is an apocalyptic number.

199907172 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 199907172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261621360).

199907172 is an abundant number, since it is smaller than the sum of its proper divisors (323335548).

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

199907172 is a wasteful number, since it uses less digits than its factorization.

199907172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The square root of 199907172 is about 14138.8532774055. The cubic root of 199907172 is about 584.7130567348.

The spelling of 199907172 in words is "one hundred ninety-nine million, nine hundred seven thousand, one hundred seventy-two".