67542 has 8 divisors (see below), whose sum is σ = 135096. Its totient is φ = 22512.

The previous prime is 67537. The next prime is 67547. The reversal of 67542 is 24576.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67537) and next prime (67547).

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

67542 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67547) 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, 5623 + ... + 5634.

It is an arithmetic number, because the mean of its divisors is an integer number (16887).

2⁶⁷⁵⁴² is an apocalyptic number.

67542 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 (67548).

67542 is a wasteful number, since it uses less digits than its factorization.

67542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11262.

The product of its digits is 1680, while the sum is 24.

The square root of 67542 is about 259.8884376035. Note that the first 3 decimals coincide. The cubic root of 67542 is about 40.7247073528.

It can be divided in two parts, 675 and 42, that added together give a palindrome (717).

The spelling of 67542 in words is "sixty-seven thousand, five hundred forty-two".