71879168 has 80 divisors (see below), whose sum is σ = 153204480. Its totient is φ = 33632256.

The previous prime is 71879113. The next prime is 71879189. The reversal of 71879168 is 86197817.

It is a super-2 number, since 2×71879168² = 10333229584744448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 697805 + ... + 697907.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 2^71879168 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 71879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76602240).

71879168 is an abundant number, since it is smaller than the sum of its proper divisors (81325312).

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

71879168 is a wasteful number, since it uses less digits than its factorization.

71879168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its digits is 169344, while the sum is 47.

The square root of 71879168 is about 8478.1582905723. The cubic root of 71879168 is about 415.7839114422.

The spelling of 71879168 in words is "seventy-one million, eight hundred seventy-nine thousand, one hundred sixty-eight".