195372 has 42 divisors (see below), whose sum is σ = 520268. Its totient is φ = 64152.

The previous prime is 195359. The next prime is 195389. The reversal of 195372 is 273591.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 13 ways as a sum of consecutive naturals, for example, 2883 + ... + 2949.

2¹⁹⁵³⁷² is an apocalyptic number.

195372 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 195372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260134).

195372 is an abundant number, since it is smaller than the sum of its proper divisors (324896).

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

195372 is an equidigital number, since it uses as much as digits as its factorization.

195372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 72 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 195372 is about 442.0090496811. The cubic root of 195372 is about 58.0257515454.

It can be divided in two parts, 1953 and 72, that added together give a square (2025 = 45²).

The spelling of 195372 in words is "one hundred ninety-five thousand, three hundred seventy-two".