67320 has 96 divisors (see below), whose sum is σ = 252720. Its totient is φ = 15360.

The previous prime is 67307. The next prime is 67339. The reversal of 67320 is 2376.

Added to its reverse (2376) it gives a square (69696 = 264²).

67320 = T₁₁₁ + T₁₁₂ + ... + T₁₂₀.

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 = 67293 and 67302.

It is a congruent number.

It is an unprimeable number.

67320 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 23 ways as a sum of consecutive naturals, for example, 3952 + ... + 3968.

2⁶⁷³²⁰ is an apocalyptic number.

67320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126360).

67320 is an abundant number, since it is smaller than the sum of its proper divisors (185400).

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

67320 is a wasteful number, since it uses less digits than its factorization.

67320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 67320 is about 259.4609797253. The cubic root of 67320 is about 40.6800397954.

Adding to 67320 its reverse (2376), we get a palindrome (69696).

The spelling of 67320 in words is "sixty-seven thousand, three hundred twenty".