67275 has 36 divisors (see below), whose sum is σ = 135408. Its totient is φ = 31680.

The previous prime is 67273. The next prime is 67289. The reversal of 67275 is 57276.

67275 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 67275 - 2¹ = 67273 is a prime.

67275 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67271) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2914 + ... + 2936.

2⁶⁷²⁷⁵ is an apocalyptic number.

67275 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

67275 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 (67704).

67275 is a wasteful number, since it uses less digits than its factorization.

67275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 44 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 67275 is about 259.3742469869. The cubic root of 67275 is about 40.6709735950.

Subtracting from 67275 its reverse (57276), we obtain a palindrome (9999).

It can be divided in two parts, 672 and 75, that added together give a palindrome (747).

The spelling of 67275 in words is "sixty-seven thousand, two hundred seventy-five".