71521811200 has 432 divisors, whose sum is σ = 213308569600. Its totient is φ = 23708160000.

The previous prime is 71521811197. The next prime is 71521811201. The reversal of 71521811200 is 211812517.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (71521811201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68050675 + ... + 68051725.

Almost surely, 2^71521811200 is an apocalyptic number.

71521811200 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 71521811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106654284800).

71521811200 is an abundant number, since it is smaller than the sum of its proper divisors (141786758400).

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

71521811200 is a wasteful number, since it uses less digits than its factorization.

71521811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 28.

The spelling of 71521811200 in words is "seventy-one billion, five hundred twenty-one million, eight hundred eleven thousand, two hundred".