199965872 has 40 divisors (see below), whose sum is σ = 401402880. Its totient is φ = 96402240.

The previous prime is 199965863. The next prime is 199965877. The reversal of 199965872 is 278569991.

It is not an unprimeable number, because it can be changed into a prime (199965877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177503 + ... + 178625.

It is an arithmetic number, because the mean of its divisors is an integer number (10035072).

Almost surely, 2^199965872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199965872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200701440).

199965872 is an abundant number, since it is smaller than the sum of its proper divisors (201437008).

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

199965872 is a wasteful number, since it uses less digits than its factorization.

199965872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1515 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 56.

The square root of 199965872 is about 14140.9289652413. The cubic root of 199965872 is about 584.7702821246.

The spelling of 199965872 in words is "one hundred ninety-nine million, nine hundred sixty-five thousand, eight hundred seventy-two".