67368 has 32 divisors (see below), whose sum is σ = 192960. Its totient is φ = 19200.

The previous prime is 67349. The next prime is 67369. The reversal of 67368 is 86376.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (67369) by changing a digit.

67368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33 + ... + 368.

It is an arithmetic number, because the mean of its divisors is an integer number (6030).

2⁶⁷³⁶⁸ 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 67368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96480).

67368 is an abundant number, since it is smaller than the sum of its proper divisors (125592).

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

67368 is a wasteful number, since it uses less digits than its factorization.

67368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 413 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 67368 is about 259.5534627008. The cubic root of 67368 is about 40.6897059571.

It can be divided in two parts, 673 and 68, that added together give a triangular number (741 = T₃₈).

The spelling of 67368 in words is "sixty-seven thousand, three hundred sixty-eight".