71017840 has 80 divisors (see below), whose sum is σ = 177310080. Its totient is φ = 26357760.

The previous prime is 71017819. The next prime is 71017841. The reversal of 71017840 is 4871017.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 71017799 and 71017808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71017841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107110 + ... + 107770.

It is an arithmetic number, because the mean of its divisors is an integer number (2216376).

Almost surely, 2^71017840 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 71017840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88655040).

71017840 is an abundant number, since it is smaller than the sum of its proper divisors (106292240).

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

71017840 is a wasteful number, since it uses less digits than its factorization.

71017840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 71017840 is about 8427.2083159253. The cubic root of 71017840 is about 414.1164538166.

Adding to 71017840 its reverse (4871017), we get a palindrome (75888857).

It can be divided in two parts, 7101 and 7840, that added together give a palindrome (14941).

The spelling of 71017840 in words is "seventy-one million, seventeen thousand, eight hundred forty".