47268 has 36 divisors (see below), whose sum is σ = 129948. Its totient is φ = 14400.

The previous prime is 47251. The next prime is 47269. The reversal of 47268 is 86274.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 19044 = 168^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (47269) by changing a digit.

47268 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 418 + ... + 518.

2⁴⁷²⁶⁸ 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 47268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64974).

47268 is an abundant number, since it is smaller than the sum of its proper divisors (82680).

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

47268 is a wasteful number, since it uses less digits than its factorization.

47268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 47268 is about 217.4120511839. The cubic root of 47268 is about 36.1567241270.

The spelling of 47268 in words is "forty-seven thousand, two hundred sixty-eight".