196272 has 60 divisors (see below), whose sum is σ = 580320. Its totient is φ = 61824.

The previous prime is 196271. The next prime is 196277. The reversal of 196272 is 272691.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (196271) 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, 4153 + ... + 4199.

It is an arithmetic number, because the mean of its divisors is an integer number (9672).

2¹⁹⁶²⁷² is an apocalyptic number.

196272 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 196272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290160).

196272 is an abundant number, since it is smaller than the sum of its proper divisors (384048).

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

196272 is a wasteful number, since it uses less digits than its factorization.

196272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 81 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 196272 is about 443.0259586074. The cubic root of 196272 is about 58.1147154887.

The spelling of 196272 in words is "one hundred ninety-six thousand, two hundred seventy-two".