71718580 has 48 divisors (see below), whose sum is σ = 163807056. Its totient is φ = 26265600.

The previous prime is 71718547. The next prime is 71718589. The reversal of 71718580 is 8581717.

It can be written as a sum of positive squares in 8 ways, for example, as 16305444 + 55413136 = 4038^2 + 7444^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71718589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9730 + ... + 15430.

It is an arithmetic number, because the mean of its divisors is an integer number (3412647).

Almost surely, 2^71718580 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 71718580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81903528).

71718580 is an abundant number, since it is smaller than the sum of its proper divisors (92088476).

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

71718580 is a wasteful number, since it uses less digits than its factorization.

71718580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5764 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 37.

The square root of 71718580 is about 8468.6823060025. The cubic root of 71718580 is about 415.4740409803.

It can be divided in two parts, 7171 and 8580, that added together give a palindrome (15751).

The spelling of 71718580 in words is "seventy-one million, seven hundred eighteen thousand, five hundred eighty".