194472 has 48 divisors (see below), whose sum is σ = 548340. Its totient is φ = 62208.

The previous prime is 194471. The next prime is 194479. The reversal of 194472 is 274491.

It is a happy number.

194472 is a `hidden beast` number, since 194 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 181476 + 12996 = 426^2 + 114^2 .

It is not an unprimeable number, because it can be changed into a prime (194471) by changing a digit.

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, 2628 + ... + 2700.

194472 is a Friedman number, since it can be written as 7^4*(2+1)^4-9, using all its digits and the basic arithmetic operations.

2¹⁹⁴⁴⁷² is an apocalyptic number.

194472 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 194472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274170).

194472 is an abundant number, since it is smaller than the sum of its proper divisors (353868).

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

194472 is a wasteful number, since it uses less digits than its factorization.

194472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 115 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 194472 is about 440.9897958003. The cubic root of 194472 is about 57.9365139668.

It can be divided in two parts, 1944 and 72, that added together give a triangular number (2016 = T₆₃).

The spelling of 194472 in words is "one hundred ninety-four thousand, four hundred seventy-two".