71533820352 has 168 divisors, whose sum is σ = 200817845760. Its totient is φ = 22449208320.

The previous prime is 71533820333. The next prime is 71533820359. The reversal of 71533820352 is 25302833517.

It is a self number, because there is not a number n which added to its sum of digits gives 71533820352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71533820359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8143899 + ... + 8152677.

It is an arithmetic number, because the mean of its divisors is an integer number (1195344320).

Almost surely, 2^71533820352 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 71533820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100408922880).

71533820352 is an abundant number, since it is smaller than the sum of its proper divisors (129284025408).

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

71533820352 is a wasteful number, since it uses less digits than its factorization.

71533820352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8899 (or 8852 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 71533820352 in words is "seventy-one billion, five hundred thirty-three million, eight hundred twenty thousand, three hundred fifty-two".