168067072 has 64 divisors (see below), whose sum is σ = 352316160. Its totient is φ = 80019456.

The previous prime is 168067069. The next prime is 168067121. The reversal of 168067072 is 270760861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 753553 + ... + 753775.

It is an arithmetic number, because the mean of its divisors is an integer number (5504940).

Almost surely, 2^168067072 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 168067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176158080).

168067072 is an abundant number, since it is smaller than the sum of its proper divisors (184249088).

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

168067072 is an frugal number, since it uses more digits than its factorization.

168067072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 168067072 is about 12964.0684971964. The cubic root of 168067072 is about 551.8582566818.

The spelling of 168067072 in words is "one hundred sixty-eight million, sixty-seven thousand, seventy-two".