67144 has 32 divisors (see below), whose sum is σ = 158400. Its totient is φ = 25920.

The previous prime is 67141. The next prime is 67153. The reversal of 67144 is 44176.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 6⁶ + 7 + 1 + 4⁶ + 4⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562 + ... + 670.

It is an arithmetic number, because the mean of its divisors is an integer number (4950).

2⁶⁷¹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79200).

67144 is an abundant number, since it is smaller than the sum of its proper divisors (91256).

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

67144 is a wasteful number, since it uses less digits than its factorization.

67144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 67144 is about 259.1215930794. The cubic root of 67144 is about 40.6445578413.

The spelling of 67144 in words is "sixty-seven thousand, one hundred forty-four".