71715731843840 has 864 divisors, whose sum is σ = 208734614323200. Its totient is φ = 23512858951680.

The previous prime is 71715731843827. The next prime is 71715731843849. The reversal of 71715731843840 is 4834813751717.

It is a super-2 number, since 2×71715731843840² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71715731843840.

It is not an unprimeable number, because it can be changed into a prime (71715731843849) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88647381356 + ... + 88647382164.

It is an arithmetic number, because the mean of its divisors is an integer number (241590988800).

Almost surely, 2^{71715731843840} is an apocalyptic number.

71715731843840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71715731843840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104367307161600).

71715731843840 is an abundant number, since it is smaller than the sum of its proper divisors (137018882479360).

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

71715731843840 is a wasteful number, since it uses less digits than its factorization.

71715731843840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 59.

The spelling of 71715731843840 in words is "seventy-one trillion, seven hundred fifteen billion, seven hundred thirty-one million, eight hundred forty-three thousand, eight hundred forty".