199472 has 40 divisors (see below), whose sum is σ = 479136. Its totient is φ = 78336.

The previous prime is 199457. The next prime is 199483. The reversal of 199472 is 274991.

199472 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1388 + ... + 1524.

2¹⁹⁹⁴⁷² 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 199472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239568).

199472 is an abundant number, since it is smaller than the sum of its proper divisors (279664).

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

199472 is a wasteful number, since it uses less digits than its factorization.

199472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its digits is 4536, while the sum is 32.

The square root of 199472 is about 446.6228834263. The cubic root of 199472 is about 58.4288466983.

The spelling of 199472 in words is "one hundred ninety-nine thousand, four hundred seventy-two".