47972 has 12 divisors (see below), whose sum is σ = 85680. Its totient is φ = 23496.

The previous prime is 47969. The next prime is 47977. The reversal of 47972 is 27974.

It is a cake number, because a cake can be divided into 47972 parts by 66 planar cuts.

It is a nialpdrome in base 15 and base 16.

It is not an unprimeable number, because it can be changed into a prime (47977) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179 + ... + 357.

It is an arithmetic number, because the mean of its divisors is an integer number (7140).

2⁴⁷⁹⁷² is an apocalyptic number.

47972 is the 179-th pentagonal number.

It is an amenable number.

47972 is a deficient number, since it is larger than the sum of its proper divisors (37708).

47972 is a wasteful number, since it uses less digits than its factorization.

47972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 248 counting only the distinct ones).

The product of its digits is 3528, while the sum is 29.

The square root of 47972 is about 219.0251127154. The cubic root of 47972 is about 36.3353439021.

Subtracting from 47972 its product of digits (3528), we obtain a palindrome (44444).

The spelling of 47972 in words is "forty-seven thousand, nine hundred seventy-two".