71691360 has 96 divisors (see below), whose sum is σ = 243220320. Its totient is φ = 17645568.

The previous prime is 71691359. The next prime is 71691419. The reversal of 71691360 is 6319617.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496 + ... + 11984.

It is an arithmetic number, because the mean of its divisors is an integer number (2533545).

Almost surely, 2^71691360 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 71691360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121610160).

71691360 is an abundant number, since it is smaller than the sum of its proper divisors (171528960).

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

71691360 is a wasteful number, since it uses less digits than its factorization.

71691360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11520 (or 11512 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 71691360 is about 8467.0750557675. The cubic root of 71691360 is about 415.4214714580.

The spelling of 71691360 in words is "seventy-one million, six hundred ninety-one thousand, three hundred sixty".