47256 has 32 divisors (see below), whose sum is σ = 129600. Its totient is φ = 14240.

The previous prime is 47251. The next prime is 47269. The reversal of 47256 is 65274.

It is a happy number.

47256 is nontrivially palindromic in base 13.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 4 + 7³ + 2⁷ + 5³ + 6⁶ .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47251) by changing a digit.

47256 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 7 ways as a sum of consecutive naturals, for example, 175 + ... + 353.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2⁴⁷²⁵⁶ 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 47256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800).

47256 is an abundant number, since it is smaller than the sum of its proper divisors (82344).

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

47256 is a wasteful number, since it uses less digits than its factorization.

47256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 195 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 47256 is about 217.3844520659. The cubic root of 47256 is about 36.1536641469.

It can be divided in two parts, 472 and 56, that added together give a triangular number (528 = T₃₂).

The spelling of 47256 in words is "forty-seven thousand, two hundred fifty-six".