71865908640 has 288 divisors, whose sum is σ = 260534304576. Its totient is φ = 18696407040.

The previous prime is 71865908623. The next prime is 71865908743. The reversal of 71865908640 is 4680956817.

71865908640 is a `hidden beast` number, since 7 + 1 + 8 + 6 + 590 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1571539 + ... + 1616621.

It is an arithmetic number, because the mean of its divisors is an integer number (904633002).

Almost surely, 2^71865908640 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 71865908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130267152288).

71865908640 is an abundant number, since it is smaller than the sum of its proper divisors (188668395936).

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

71865908640 is a wasteful number, since it uses less digits than its factorization.

71865908640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45154 (or 45134 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 71865908640 in words is "seventy-one billion, eight hundred sixty-five million, nine hundred eight thousand, six hundred forty".