65724 has 12 divisors (see below), whose sum is σ = 153384. Its totient is φ = 21904.

The previous prime is 65719. The next prime is 65729. The reversal of 65724 is 42756.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (65719) and next prime (65729).

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 6 + 5 + 7² + 2⁷ + 4⁸ .

It is a junction number, because it is equal to n+sod(n) for n = 65694 and 65703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65729) 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, 2727 + ... + 2750.

It is an arithmetic number, because the mean of its divisors is an integer number (12782).

2⁶⁵⁷²⁴ is an apocalyptic number.

It is an amenable number.

65724 is an abundant number, since it is smaller than the sum of its proper divisors (87660).

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 (76692).

65724 is a wasteful number, since it uses less digits than its factorization.

65724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484 (or 5482 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 65724 is about 256.3669245437. The cubic root of 65724 is about 40.3559890626.

The spelling of 65724 in words is "sixty-five thousand, seven hundred twenty-four".