71121528576 has 288 divisors, whose sum is σ = 254506452480. Its totient is φ = 19124895744.

The previous prime is 71121528539. The next prime is 71121528601. The reversal of 71121528576 is 67582512117.

71121528576 is a `hidden beast` number, since 7 + 1 + 1 + 21 + 52 + 8 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 779295 + ... + 865761.

It is an arithmetic number, because the mean of its divisors is an integer number (883702960).

Almost surely, 2^71121528576 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 71121528576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127253226240).

71121528576 is an abundant number, since it is smaller than the sum of its proper divisors (183384923904).

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

71121528576 is a wasteful number, since it uses less digits than its factorization.

71121528576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86516 (or 86496 counting only the distinct ones).

The product of its digits is 235200, while the sum is 45.

The spelling of 71121528576 in words is "seventy-one billion, one hundred twenty-one million, five hundred twenty-eight thousand, five hundred seventy-six".