71215680 has 112 divisors (see below), whose sum is σ = 233501184. Its totient is φ = 18370560.

The previous prime is 71215679. The next prime is 71215693. The reversal of 71215680 is 8651217.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 28564 + ... + 30956.

It is an arithmetic number, because the mean of its divisors is an integer number (2084832).

Almost surely, 2^71215680 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 71215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116750592).

71215680 is an abundant number, since it is smaller than the sum of its proper divisors (162285504).

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

71215680 is a wasteful number, since it uses less digits than its factorization.

71215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 71215680 is about 8438.9383218507. The cubic root of 71215680 is about 414.5006429079.

Adding to 71215680 its reverse (8651217), we get a palindrome (79866897).

The spelling of 71215680 in words is "seventy-one million, two hundred fifteen thousand, six hundred eighty".