71710080 has 256 divisors, whose sum is σ = 262180800. Its totient is φ = 16613376.

The previous prime is 71710031. The next prime is 71710081. The reversal of 71710080 is 8001717.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 71710080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71710081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4218232 + ... + 4218248.

Almost surely, 2^71710080 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 71710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131090400).

71710080 is an abundant number, since it is smaller than the sum of its proper divisors (190470720).

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

71710080 is a wasteful number, since it uses less digits than its factorization.

71710080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 24.

The square root of 71710080 is about 8468.1804421021. The cubic root of 71710080 is about 415.4576265036.

Adding to 71710080 its reverse (8001717), we get a palindrome (79711797).

The spelling of 71710080 in words is "seventy-one million, seven hundred ten thousand, eighty".