47872 has 36 divisors (see below), whose sum is σ = 110376. Its totient is φ = 20480.

The previous prime is 47869. The next prime is 47881. The reversal of 47872 is 27874.

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

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 47872.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2808 + ... + 2824.

It is an arithmetic number, because the mean of its divisors is an integer number (3066).

2⁴⁷⁸⁷² 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 47872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55188).

47872 is an abundant number, since it is smaller than the sum of its proper divisors (62504).

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

47872 is a wasteful number, since it uses less digits than its factorization.

47872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 30 counting only the distinct ones).

The product of its digits is 3136, while the sum is 28.

The square root of 47872 is about 218.7967092988. The cubic root of 47872 is about 36.3100787329.

It can be divided in two parts, 47 and 872, that added together give a palindrome (919).

The spelling of 47872 in words is "forty-seven thousand, eight hundred seventy-two".