67755 has 8 divisors (see below), whose sum is σ = 108432. Its totient is φ = 36128.

The previous prime is 67751. The next prime is 67757. The reversal of 67755 is 55776.

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

It is a cyclic number.

It is not a de Polignac number, because 67755 - 2² = 67751 is a prime.

67755 is a lucky number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67755.

It is not an unprimeable number, because it can be changed into a prime (67751) 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 7 ways as a sum of consecutive naturals, for example, 2244 + ... + 2273.

It is an arithmetic number, because the mean of its divisors is an integer number (13554).

2⁶⁷⁷⁵⁵ is an apocalyptic number.

67755 is a deficient number, since it is larger than the sum of its proper divisors (40677).

67755 is a wasteful number, since it uses less digits than its factorization.

67755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525.

The product of its digits is 7350, while the sum is 30.

The square root of 67755 is about 260.2979062536. The cubic root of 67755 is about 40.7674721517.

The spelling of 67755 in words is "sixty-seven thousand, seven hundred fifty-five".