199272000 has 336 divisors, whose sum is σ = 724643712. Its totient is φ = 48153600.

The previous prime is 199271971. The next prime is 199272053. The reversal of 199272000 is 272991.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8663989 + ... + 8664011.

Almost surely, 2^199272000 is an apocalyptic number.

199272000 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 199272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362321856).

199272000 is an abundant number, since it is smaller than the sum of its proper divisors (525371712).

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

199272000 is a wasteful number, since it uses less digits than its factorization.

199272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 199272000 is about 14116.3734719651. The cubic root of 199272000 is about 584.0931233247.

The spelling of 199272000 in words is "one hundred ninety-nine million, two hundred seventy-two thousand".