71189875200 has 240 divisors, whose sum is σ = 236507942880. Its totient is φ = 18876088320.

The previous prime is 71189875187. The next prime is 71189875243. The reversal of 71189875200 is 257898117.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 71189875200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6868422 + ... + 6878778.

It is an arithmetic number, because the mean of its divisors is an integer number (985449762).

Almost surely, 2^71189875200 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 71189875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118253971440).

71189875200 is an abundant number, since it is smaller than the sum of its proper divisors (165318067680).

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

71189875200 is a wasteful number, since it uses less digits than its factorization.

71189875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10567 (or 10546 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 48.

The spelling of 71189875200 in words is "seventy-one billion, one hundred eighty-nine million, eight hundred seventy-five thousand, two hundred".