67362 has 16 divisors (see below), whose sum is σ = 137280. Its totient is φ = 22032.

The previous prime is 67349. The next prime is 67369. The reversal of 67362 is 26376.

It is a d-powerful number, because it can be written as 6² + 7² + 3¹⁰ + 6² + 2¹³ .

It is a plaindrome in base 9 and base 11.

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

67362 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, 564 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (8580).

2⁶⁷³⁶² is an apocalyptic number.

67362 is an abundant number, since it is smaller than the sum of its proper divisors (69918).

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 (68640).

67362 is a wasteful number, since it uses less digits than its factorization.

67362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217.

The product of its digits is 1512, while the sum is 24.

The square root of 67362 is about 259.5419041311. The cubic root of 67362 is about 40.6884979380.

The spelling of 67362 in words is "sixty-seven thousand, three hundred sixty-two".