71529868800 has 1440 divisors, whose sum is σ = 300593573280. Its totient is φ = 16721510400.

The previous prime is 71529868769. The next prime is 71529868843. The reversal of 71529868800 is 886892517.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1172620770 + ... + 1172620830.

It is an arithmetic number, because the mean of its divisors is an integer number (208745537).

Almost surely, 2^71529868800 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 71529868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150296786640).

71529868800 is an abundant number, since it is smaller than the sum of its proper divisors (229063704480).

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

71529868800 is a wasteful number, since it uses less digits than its factorization.

71529868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 71529868800 in words is "seventy-one billion, five hundred twenty-nine million, eight hundred sixty-eight thousand, eight hundred".