71919168 has 56 divisors (see below), whose sum is σ = 192621408. Its totient is φ = 23678976.

The previous prime is 71919167. The next prime is 71919193. The reversal of 71919168 is 86191917.

It is not an unprimeable number, because it can be changed into a prime (71919167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13680 + ... + 18192.

It is an arithmetic number, because the mean of its divisors is an integer number (3439668).

Almost surely, 2^71919168 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 71919168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96310704).

71919168 is an abundant number, since it is smaller than the sum of its proper divisors (120702240).

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

71919168 is a wasteful number, since it uses less digits than its factorization.

71919168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611 (or 4601 counting only the distinct ones).

The product of its digits is 27216, while the sum is 42.

The square root of 71919168 is about 8480.5169653742. The cubic root of 71919168 is about 415.8610235959.

The spelling of 71919168 in words is "seventy-one million, nine hundred nineteen thousand, one hundred sixty-eight".