67575 has 24 divisors (see below), whose sum is σ = 120528. Its totient is φ = 33280.

The previous prime is 67567. The next prime is 67577. The reversal of 67575 is 57576.

67575 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 67575 - 2³ = 67567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1249 + ... + 1301.

It is an arithmetic number, because the mean of its divisors is an integer number (5022).

2⁶⁷⁵⁷⁵ is an apocalyptic number.

67575 is a deficient number, since it is larger than the sum of its proper divisors (52953).

67575 is a wasteful number, since it uses less digits than its factorization.

67575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 78 counting only the distinct ones).

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

The square root of 67575 is about 259.9519186311. The cubic root of 67575 is about 40.7313387650.

Subtracting from 67575 its reverse (57576), we obtain a palindrome (9999).

It can be divided in two parts, 675 and 75, that multiplied together give a 4-th power (50625 = 15⁴).

The spelling of 67575 in words is "sixty-seven thousand, five hundred seventy-five".