71182325760 has 384 divisors, whose sum is σ = 280291415040. Its totient is φ = 15018098688.

The previous prime is 71182325759. The next prime is 71182325779. The reversal of 71182325760 is 6752328117.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2782789 + ... + 2808251.

It is an arithmetic number, because the mean of its divisors is an integer number (729925560).

Almost surely, 2^71182325760 is an apocalyptic number.

71182325760 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 71182325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140145707520).

71182325760 is an abundant number, since it is smaller than the sum of its proper divisors (209109089280).

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

71182325760 is a wasteful number, since it uses less digits than its factorization.

71182325760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25513 (or 25493 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 71182325760 in words is "seventy-one billion, one hundred eighty-two million, three hundred twenty-five thousand, seven hundred sixty".