71729461224 has 192 divisors, whose sum is σ = 213605683200. Its totient is φ = 22472515584.

The previous prime is 71729461211. The next prime is 71729461273. The reversal of 71729461224 is 42216492717.

71729461224 is a `hidden beast` number, since 7 + 1 + 7 + 2 + 9 + 4 + 612 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 71729461224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42267544 + ... + 42269240.

It is an arithmetic number, because the mean of its divisors is an integer number (1112529600).

Almost surely, 2^71729461224 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 71729461224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106802841600).

71729461224 is an abundant number, since it is smaller than the sum of its proper divisors (141876221976).

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

71729461224 is a wasteful number, since it uses less digits than its factorization.

71729461224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 2998 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 71729461224 in words is "seventy-one billion, seven hundred twenty-nine million, four hundred sixty-one thousand, two hundred twenty-four".