71292640800 has 72 divisors (see below), whose sum is σ = 232057553616. Its totient is φ = 19011370240.

The previous prime is 71292640799. The next prime is 71292640823. The reversal of 71292640800 is 804629217.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14850234 + ... + 14855033.

It is an arithmetic number, because the mean of its divisors is an integer number (3223021578).

Almost surely, 2^71292640800 is an apocalyptic number.

It is an amenable number.

71292640800 is an abundant number, since it is smaller than the sum of its proper divisors (160764912816).

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

71292640800 is a wasteful number, since it uses less digits than its factorization.

71292640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29705290 (or 29705277 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 71292640800 in words is "seventy-one billion, two hundred ninety-two million, six hundred forty thousand, eight hundred".