195972 has 24 divisors (see below), whose sum is σ = 522816. Its totient is φ = 55968.

The previous prime is 195971. The next prime is 195973. The reversal of 195972 is 279591.

195972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (195971) and next prime (195973).

It is not an unprimeable number, because it can be changed into a prime (195971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1083 + ... + 1250.

It is an arithmetic number, because the mean of its divisors is an integer number (21784).

2¹⁹⁵⁹⁷² is an apocalyptic number.

195972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

195972 is an abundant number, since it is smaller than the sum of its proper divisors (326844).

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

195972 is a wasteful number, since it uses less digits than its factorization.

195972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2345 counting only the distinct ones).

The product of its digits is 5670, while the sum is 33.

The square root of 195972 is about 442.6872485175. The cubic root of 195972 is about 58.0850911155.

The spelling of 195972 in words is "one hundred ninety-five thousand, nine hundred seventy-two".