71587640 has 32 divisors (see below), whose sum is σ = 165004560. Its totient is φ = 27936000.

The previous prime is 71587639. The next prime is 71587643. The reversal of 71587640 is 4678517.

It is a junction number, because it is equal to n+sod(n) for n = 71587594 and 71587603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71587643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20186 + ... + 23465.

Almost surely, 2^71587640 is an apocalyptic number.

It is an amenable number.

71587640 is an abundant number, since it is smaller than the sum of its proper divisors (93416920).

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

71587640 is a wasteful number, since it uses less digits than its factorization.

71587640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43703 (or 43699 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 71587640 is about 8460.9479374359. The cubic root of 71587640 is about 415.2210367483.

It can be divided in two parts, 71587 and 640, that added together give a palindrome (72227).

The spelling of 71587640 in words is "seventy-one million, five hundred eighty-seven thousand, six hundred forty".