196672 has 28 divisors (see below), whose sum is σ = 447040. Its totient is φ = 84096.

The previous prime is 196663. The next prime is 196681. The reversal of 196672 is 276691.

196672 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 (196663) and next prime (196681).

It is a tau number, because it is divible by the number of its divisors (28).

It is an unprimeable number.

196672 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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229 + ... + 667.

2¹⁹⁶⁶⁷² 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 196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223520).

196672 is an abundant number, since it is smaller than the sum of its proper divisors (250368).

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

196672 is an equidigital number, since it uses as much as digits as its factorization.

196672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 448 counting only the distinct ones).

The product of its digits is 4536, while the sum is 31.

The square root of 196672 is about 443.4771696491. The cubic root of 196672 is about 58.1541677326.

It can be divided in two parts, 196 and 672, that added together give a palindrome (868).

The spelling of 196672 in words is "one hundred ninety-six thousand, six hundred seventy-two".