71313840 has 240 divisors, whose sum is σ = 272170080. Its totient is φ = 16588800.

The previous prime is 71313829. The next prime is 71313863. The reversal of 71313840 is 4831317.

It is a tau number, because it is divible by the number of its divisors (240).

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, 177640 + ... + 178040.

It is an arithmetic number, because the mean of its divisors is an integer number (1134042).

Almost surely, 2^71313840 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 71313840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136085040).

71313840 is an abundant number, since it is smaller than the sum of its proper divisors (200856240).

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

71313840 is a wasteful number, since it uses less digits than its factorization.

71313840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 71313840 is about 8444.7522166136. The cubic root of 71313840 is about 414.6909975396.

The spelling of 71313840 in words is "seventy-one million, three hundred thirteen thousand, eight hundred forty".