71445028200 has 576 divisors, whose sum is σ = 282773151360. Its totient is φ = 14785505280.

The previous prime is 71445028177. The next prime is 71445028273. The reversal of 71445028200 is 282054417.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20254837 + ... + 20258363.

It is an arithmetic number, because the mean of its divisors is an integer number (490925610).

Almost surely, 2^71445028200 is an apocalyptic number.

71445028200 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 71445028200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141386575680).

71445028200 is an abundant number, since it is smaller than the sum of its proper divisors (211328123160).

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

71445028200 is a wasteful number, since it uses less digits than its factorization.

71445028200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 71445028200 in words is "seventy-one billion, four hundred forty-five million, twenty-eight thousand, two hundred".