71351079072 has 384 divisors, whose sum is σ = 238884323328. Its totient is φ = 18139852800.

The previous prime is 71351079001. The next prime is 71351079077. The reversal of 71351079072 is 27097015317.

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

It is not an unprimeable number, because it can be changed into a prime (71351079077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131887122 + ... + 131887662.

It is an arithmetic number, because the mean of its divisors is an integer number (622094592).

Almost surely, 2^71351079072 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 71351079072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119442161664).

71351079072 is an abundant number, since it is smaller than the sum of its proper divisors (167533244256).

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

71351079072 is a wasteful number, since it uses less digits than its factorization.

71351079072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 42.

The spelling of 71351079072 in words is "seventy-one billion, three hundred fifty-one million, seventy-nine thousand, seventy-two".