199212672 has 64 divisors (see below), whose sum is σ = 533957760. Its totient is φ = 65802240.

The previous prime is 199212661. The next prime is 199212691. The reversal of 199212672 is 276212991.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 199212672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41097 + ... + 45687.

It is an arithmetic number, because the mean of its divisors is an integer number (8343090).

Almost surely, 2^199212672 is an apocalyptic number.

199212672 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 199212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266978880).

199212672 is an abundant number, since it is smaller than the sum of its proper divisors (334745088).

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

199212672 is a wasteful number, since it uses less digits than its factorization.

199212672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4709 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 199212672 is about 14114.2719259620. The cubic root of 199212672 is about 584.0351514464.

The spelling of 199212672 in words is "one hundred ninety-nine million, two hundred twelve thousand, six hundred seventy-two".