71343739200 has 336 divisors, whose sum is σ = 240982951104. Its totient is φ = 18467635200.

The previous prime is 71343739157. The next prime is 71343739223. The reversal of 71343739200 is 293734317.

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 47 ways as a sum of consecutive naturals, for example, 44672802 + ... + 44674398.

It is an arithmetic number, because the mean of its divisors is an integer number (717211164).

Almost surely, 2^71343739200 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 71343739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120491475552).

71343739200 is an abundant number, since it is smaller than the sum of its proper divisors (169639211904).

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

71343739200 is a wasteful number, since it uses less digits than its factorization.

71343739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The spelling of 71343739200 in words is "seventy-one billion, three hundred forty-three million, seven hundred thirty-nine thousand, two hundred".