71315760 has 80 divisors (see below), whose sum is σ = 222557184. Its totient is φ = 18890496.

The previous prime is 71315753. The next prime is 71315809. The reversal of 71315760 is 6751317.

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

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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38209 + ... + 40031.

Almost surely, 2^71315760 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 71315760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111278592).

71315760 is an abundant number, since it is smaller than the sum of its proper divisors (151241424).

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

71315760 is a wasteful number, since it uses less digits than its factorization.

71315760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 71315760 is about 8444.8658959157. The cubic root of 71315760 is about 414.6947191153.

The spelling of 71315760 in words is "seventy-one million, three hundred fifteen thousand, seven hundred sixty".