67730 has 16 divisors (see below), whose sum is σ = 131544. Its totient is φ = 24960.

The previous prime is 67723. The next prime is 67733. The reversal of 67730 is 3776.

It can be written as a sum of positive squares in 4 ways, for example, as 34969 + 32761 = 187^2 + 181^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 67696 and 67705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67733) by changing a digit.

67730 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 7 ways as a sum of consecutive naturals, for example, 131 + ... + 390.

2⁶⁷⁷³⁰ is an apocalyptic number.

67730 is a deficient number, since it is larger than the sum of its proper divisors (63814).

67730 is a wasteful number, since it uses less digits than its factorization.

67730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541.

The product of its (nonzero) digits is 882, while the sum is 23.

The square root of 67730 is about 260.2498799231. The cubic root of 67730 is about 40.7624574557.

It can be divided in two parts, 677 and 30, that added together give a palindrome (707).

The spelling of 67730 in words is "sixty-seven thousand, seven hundred thirty".