199252872 has 320 divisors, whose sum is σ = 715545600. Its totient is φ = 50388480.

The previous prime is 199252847. The next prime is 199252883. The reversal of 199252872 is 278252991.

It is a happy number.

199252872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 1827954 + ... + 1828062.

It is an arithmetic number, because the mean of its divisors is an integer number (2236080).

Almost surely, 2^199252872 is an apocalyptic number.

199252872 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 199252872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357772800).

199252872 is an abundant number, since it is smaller than the sum of its proper divisors (516292728).

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

199252872 is a wasteful number, since it uses less digits than its factorization.

199252872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 199252872 is about 14115.6959445859. The cubic root of 199252872 is about 584.0744338103.

The spelling of 199252872 in words is "one hundred ninety-nine million, two hundred fifty-two thousand, eight hundred seventy-two".