71721144000 has 672 divisors, whose sum is σ = 282351431232. Its totient is φ = 17233920000.

The previous prime is 71721143993. The next prime is 71721144017. The reversal of 71721144000 is 44112717.

71721144000 is a `hidden beast` number, since 7 + 1 + 7 + 211 + 440 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 108503670 + ... + 108504330.

Almost surely, 2^71721144000 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 71721144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141175715616).

71721144000 is an abundant number, since it is smaller than the sum of its proper divisors (210630287232).

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

71721144000 is a wasteful number, since it uses less digits than its factorization.

71721144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 71721144000 its reverse (44112717), we get a palindrome (71765256717).

The spelling of 71721144000 in words is "seventy-one billion, seven hundred twenty-one million, one hundred forty-four thousand".