47544 has 32 divisors (see below), whose sum is σ = 136320. Its totient is φ = 13536.

The previous prime is 47543. The next prime is 47563. The reversal of 47544 is 44574.

47544 = T₁₀₅ + T₁₀₆ + ... + T₁₁₂.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47544.

It is not an unprimeable number, because it can be changed into a prime (47543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (4260).

2⁴⁷⁵⁴⁴ 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 47544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68160).

47544 is an abundant number, since it is smaller than the sum of its proper divisors (88776).

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

47544 is a wasteful number, since it uses less digits than its factorization.

With its successor (47545) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (299).

47544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its digits is 2240, while the sum is 24.

The square root of 47544 is about 218.0458667345. The cubic root of 47544 is about 36.2269611831.

The spelling of 47544 in words is "forty-seven thousand, five hundred forty-four".