67329216 has 84 divisors (see below), whose sum is σ = 197763384. Its totient is φ = 21888000.

The previous prime is 67329209. The next prime is 67329221. The reversal of 67329216 is 61292376.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22191 + ... + 25041.

It is an arithmetic number, because the mean of its divisors is an integer number (2354326).

Almost surely, 2^67329216 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 67329216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98881692).

67329216 is an abundant number, since it is smaller than the sum of its proper divisors (130434168).

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

67329216 is a wasteful number, since it uses less digits than its factorization.

67329216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2897 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 67329216 is about 8205.4381967083. The cubic root of 67329216 is about 406.8189605477.

The spelling of 67329216 in words is "sixty-seven million, three hundred twenty-nine thousand, two hundred sixteen".