67158 has 48 divisors (see below), whose sum is σ = 183456. Its totient is φ = 17280.

The previous prime is 67157. The next prime is 67169. The reversal of 67158 is 85176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67153) 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 23 ways as a sum of consecutive naturals, for example, 1618 + ... + 1658.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

2⁶⁷¹⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728).

67158 is an abundant number, since it is smaller than the sum of its proper divisors (116298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67158 is a wasteful number, since it uses less digits than its factorization.

67158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 66 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 67158 is about 259.1486060159. The cubic root of 67158 is about 40.6473825378.

It can be divided in two parts, 671 and 58, that added together give a 6-th power (729 = 3⁶).

The spelling of 67158 in words is "sixty-seven thousand, one hundred fifty-eight".