67724 has 6 divisors (see below), whose sum is σ = 118524. Its totient is φ = 33860.

The previous prime is 67723. The next prime is 67733. The reversal of 67724 is 42776.

It is a junction number, because it is equal to n+sod(n) for n = 67693 and 67702.

It is not an unprimeable number, because it can be changed into a prime (67723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8462 + ... + 8469.

It is an arithmetic number, because the mean of its divisors is an integer number (19754).

2⁶⁷⁷²⁴ is an apocalyptic number.

It is an amenable number.

67724 is a deficient number, since it is larger than the sum of its proper divisors (50800).

67724 is a wasteful number, since it uses less digits than its factorization.

67724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16935 (or 16933 counting only the distinct ones).

The product of its digits is 2352, while the sum is 26.

The square root of 67724 is about 260.2383522850. The cubic root of 67724 is about 40.7612537450.

It can be divided in two parts, 6772 and 4, that added together give a palindrome (6776).

The spelling of 67724 in words is "sixty-seven thousand, seven hundred twenty-four".