67122 has 32 divisors (see below), whose sum is σ = 164160. Its totient is φ = 20160.

The previous prime is 67121. The next prime is 67129. The reversal of 67122 is 22176.

It is a happy number.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 67095 and 67104.

It is not an unprimeable number, because it can be changed into a prime (67121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 538 + ... + 650.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2⁶⁷¹²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82080).

67122 is an abundant number, since it is smaller than the sum of its proper divisors (97038).

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

67122 is a wasteful number, since it uses less digits than its factorization.

67122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 67122 is about 259.0791384886. The cubic root of 67122 is about 40.6401182391.

Adding to 67122 its reverse (22176), we get a palindrome (89298).

The spelling of 67122 in words is "sixty-seven thousand, one hundred twenty-two".