71083347720 has 512 divisors, whose sum is σ = 278278778880. Its totient is φ = 14096609280.

The previous prime is 71083347703. The next prime is 71083347733. The reversal of 71083347720 is 2774338017.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18117679 + ... + 18121601.

It is an arithmetic number, because the mean of its divisors is an integer number (543513240).

Almost surely, 2^71083347720 is an apocalyptic number.

71083347720 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 71083347720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139139389440).

71083347720 is an abundant number, since it is smaller than the sum of its proper divisors (207195431160).

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

71083347720 is a wasteful number, since it uses less digits than its factorization.

71083347720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 71083347720 in words is "seventy-one billion, eighty-three million, three hundred forty-seven thousand, seven hundred twenty".