47724 has 24 divisors (see below), whose sum is σ = 115248. Its totient is φ = 15360.

The previous prime is 47717. The next prime is 47737. The reversal of 47724 is 42774.

47724 = 12² + 13² + ... + 52².

It is an Ulam number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 47694 and 47703.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47724.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444 + ... + 540.

It is an arithmetic number, because the mean of its divisors is an integer number (4802).

2⁴⁷⁷²⁴ is an apocalyptic number.

It is an amenable number.

47724 is an abundant number, since it is smaller than the sum of its proper divisors (67524).

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 (57624).

47724 is a wasteful number, since it uses less digits than its factorization.

47724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 143 counting only the distinct ones).

The product of its digits is 1568, while the sum is 24.

The square root of 47724 is about 218.4582339945. The cubic root of 47724 is about 36.2726216312.

Subtracting from 47724 its reverse (42774), we obtain a triangular number (4950 = T₉₉).

The spelling of 47724 in words is "forty-seven thousand, seven hundred twenty-four", and thus it is an iban number.