47136 has 24 divisors (see below), whose sum is σ = 123984. Its totient is φ = 15680.

The previous prime is 47129. The next prime is 47137. The reversal of 47136 is 63174.

It is a tau number, because it is divible by the number of its divisors (24).

Its product of digits (504) is a multiple of the sum of its prime factors (504).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (47137) by changing a digit.

47136 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 150 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (5166).

2⁴⁷¹³⁶ is an apocalyptic number.

It is an amenable number.

47136 is an abundant number, since it is smaller than the sum of its proper divisors (76848).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61992).

47136 is a wasteful number, since it uses less digits than its factorization.

47136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 496 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 47136 is about 217.1082679218. The cubic root of 47136 is about 36.1230358163.

It can be divided in two parts, 4 and 7136, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 47136 in words is "forty-seven thousand, one hundred thirty-six".