71191680 has 128 divisors (see below), whose sum is σ = 259390080. Its totient is φ = 16269312.

The previous prime is 71191669. The next prime is 71191691. The reversal of 71191680 is 8619117.

It is an interprime number because it is at equal distance from previous prime (71191669) and next prime (71191691).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10792 + ... + 16088.

It is an arithmetic number, because the mean of its divisors is an integer number (2026485).

Almost surely, 2^71191680 is an apocalyptic number.

71191680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129695040).

71191680 is an abundant number, since it is smaller than the sum of its proper divisors (188198400).

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

71191680 is a wasteful number, since it uses less digits than its factorization.

71191680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5326 (or 5314 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 71191680 is about 8437.5162222066. The cubic root of 71191680 is about 414.4540748246.

The spelling of 71191680 in words is "seventy-one million, one hundred ninety-one thousand, six hundred eighty".