71067168 has 144 divisors (see below), whose sum is σ = 213857280. Its totient is φ = 22353408.

The previous prime is 71067137. The next prime is 71067181. The reversal of 71067168 is 86176017.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 559521 + ... + 559647.

It is an arithmetic number, because the mean of its divisors is an integer number (1485120).

Almost surely, 2^71067168 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 71067168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928640).

71067168 is an abundant number, since it is smaller than the sum of its proper divisors (142790112).

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

71067168 is a wasteful number, since it uses less digits than its factorization.

71067168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 71067168 is about 8430.1345184997. The cubic root of 71067168 is about 414.2123114617.

The spelling of 71067168 in words is "seventy-one million, sixty-seven thousand, one hundred sixty-eight".