199131972 has 48 divisors (see below), whose sum is σ = 516536832. Its totient is φ = 59293440.

The previous prime is 199131967. The next prime is 199132001. The reversal of 199131972 is 279131991.

199131972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15753 + ... + 25424.

It is an arithmetic number, because the mean of its divisors is an integer number (10761184).

Almost surely, 2^199131972 is an apocalyptic number.

199131972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199131972 is an abundant number, since it is smaller than the sum of its proper divisors (317404860).

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

199131972 is a wasteful number, since it uses less digits than its factorization.

199131972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41228 (or 41226 counting only the distinct ones).

The product of its digits is 30618, while the sum is 42.

The square root of 199131972 is about 14111.4128279205. The cubic root of 199131972 is about 583.9562776112.

The spelling of 199131972 in words is "one hundred ninety-nine million, one hundred thirty-one thousand, nine hundred seventy-two".