71128832320 has 448 divisors, whose sum is σ = 224972246016. Its totient is φ = 20779499520.

The previous prime is 71128832293. The next prime is 71128832351. The reversal of 71128832320 is 2323882117.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 71128832320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26235765 + ... + 26238475.

It is an arithmetic number, because the mean of its divisors is an integer number (502170192).

Almost surely, 2^71128832320 is an apocalyptic number.

71128832320 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 71128832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112486123008).

71128832320 is an abundant number, since it is smaller than the sum of its proper divisors (153843413696).

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

71128832320 is a wasteful number, since it uses less digits than its factorization.

71128832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 71128832320 in words is "seventy-one billion, one hundred twenty-eight million, eight hundred thirty-two thousand, three hundred twenty".