195552 has 72 divisors (see below), whose sum is σ = 642096. Its totient is φ = 55296.

The previous prime is 195541. The next prime is 195581. The reversal of 195552 is 255591.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

195552 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 1968 + ... + 2064.

It is an arithmetic number, because the mean of its divisors is an integer number (8918).

2¹⁹⁵⁵⁵² is an apocalyptic number.

195552 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 195552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321048).

195552 is an abundant number, since it is smaller than the sum of its proper divisors (446544).

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

195552 is a wasteful number, since it uses less digits than its factorization.

195552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its digits is 2250, while the sum is 27.

The square root of 195552 is about 442.2126185445. The cubic root of 195552 is about 58.0435661577.

It can be divided in two parts, 195 and 552, that added together give a palindrome (747).

The spelling of 195552 in words is "one hundred ninety-five thousand, five hundred fifty-two".