71930008800 has 720 divisors, whose sum is σ = 285579534240. Its totient is φ = 17512796160.

The previous prime is 71930008783. The next prime is 71930008823. The reversal of 71930008800 is 880003917.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86766786 + ... + 86767614.

It is an arithmetic number, because the mean of its divisors is an integer number (396638242).

Almost surely, 2^71930008800 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 71930008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142789767120).

71930008800 is an abundant number, since it is smaller than the sum of its proper divisors (213649525440).

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

71930008800 is a wasteful number, since it uses less digits than its factorization.

71930008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 71930008800 in words is "seventy-one billion, nine hundred thirty million, eight thousand, eight hundred".