10724 has 12 divisors (see below), whose sum is σ = 21504. Its totient is φ = 4584.

The previous prime is 10723. The next prime is 10729. The reversal of 10724 is 42701.

It is a happy number.

10724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10724 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10699 and 10708.

It is not an unprimeable number, because it can be changed into a prime (10723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164 + ... + 219.

It is an arithmetic number, because the mean of its divisors is an integer number (1792).

2¹⁰⁷²⁴ is an apocalyptic number.

10724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10724 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (10752).

10724 is a wasteful number, since it uses less digits than its factorization.

10724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 10724 is about 103.5567477280. The cubic root of 10724 is about 22.0522175600.

It can be divided in two parts, 107 and 24, that added together give a palindrome (131).

The spelling of 10724 in words is "ten thousand, seven hundred twenty-four", and thus it is an iban number.