199172952 has 128 divisors (see below), whose sum is σ = 639187200. Its totient is φ = 56793600.

The previous prime is 199172933. The next prime is 199173017. The reversal of 199172952 is 259271991.

It is a junction number, because it is equal to n+sod(n) for n = 199172898 and 199172907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37927 + ... + 42857.

It is an arithmetic number, because the mean of its divisors is an integer number (4993650).

Almost surely, 2^199172952 is an apocalyptic number.

199172952 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 199172952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319593600).

199172952 is an abundant number, since it is smaller than the sum of its proper divisors (440014248).

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

199172952 is a wasteful number, since it uses less digits than its factorization.

199172952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 4964 counting only the distinct ones).

The product of its digits is 102060, while the sum is 45.

The square root of 199172952 is about 14112.8647694223. The cubic root of 199172952 is about 583.9963329350.

The spelling of 199172952 in words is "one hundred ninety-nine million, one hundred seventy-two thousand, nine hundred fifty-two".