199720000 has 70 divisors (see below), whose sum is σ = 495339878. Its totient is φ = 79872000.

The previous prime is 199719997. The next prime is 199720009. The reversal of 199720000 is 27991.

It can be written as a sum of positive squares in 5 ways, for example, as 93547584 + 106172416 = 9672^2 + 10304^2 .

It is not an unprimeable number, because it can be changed into a prime (199720009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 37504 + ... + 42496.

Almost surely, 2^199720000 is an apocalyptic number.

199720000 is a gapful number since it is divisible by the number (10) 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 199720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247669939).

199720000 is an abundant number, since it is smaller than the sum of its proper divisors (295619878).

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

199720000 is an frugal number, since it uses more digits than its factorization.

199720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 199720000 is about 14132.2326615436. The cubic root of 199720000 is about 584.5305118640.

Adding to 199720000 its reverse (27991), we get a palindrome (199747991).

The spelling of 199720000 in words is "one hundred ninety-nine million, seven hundred twenty thousand".