71812412800 has 48 divisors (see below), whose sum is σ = 177399108900. Its totient is φ = 28724963840.

The previous prime is 71812412779. The next prime is 71812412831. The reversal of 71812412800 is 821421817.

It is a super-3 number, since 3×71812412800³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11217490 + ... + 11223889.

Almost surely, 2^71812412800 is an apocalyptic number.

It is an amenable number.

71812412800 is an abundant number, since it is smaller than the sum of its proper divisors (105586696100).

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

71812412800 is a wasteful number, since it uses less digits than its factorization.

71812412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22441403 (or 22441386 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 34.

The spelling of 71812412800 in words is "seventy-one billion, eight hundred twelve million, four hundred twelve thousand, eight hundred".