67566 has 8 divisors (see below), whose sum is σ = 135144. Its totient is φ = 22520.

The previous prime is 67559. The next prime is 67567. The reversal of 67566 is 66576.

It is a sphenic number, since it is the product of 3 distinct primes.

67566 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67567) 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, 5625 + ... + 5636.

It is an arithmetic number, because the mean of its divisors is an integer number (16893).

2⁶⁷⁵⁶⁶ is an apocalyptic number.

67566 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 (67572).

67566 is a wasteful number, since it uses less digits than its factorization.

67566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11266.

The product of its digits is 7560, while the sum is 30.

The square root of 67566 is about 259.9346071611. The cubic root of 67566 is about 40.7295304122.

Subtracting from 67566 its product of digits (7560), we obtain a palindrome (60006).

Subtracting from 67566 its reverse (66576), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 675 and 66, that added together give a triangular number (741 = T₃₈).

The spelling of 67566 in words is "sixty-seven thousand, five hundred sixty-six".