71729956000 has 48 divisors (see below), whose sum is σ = 176240511720. Its totient is φ = 28691980800.

The previous prime is 71729955991. The next prime is 71729956027. The reversal of 71729956000 is 65992717.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16724696976 + 55005259024 = 129324^2 + 234532^2 .

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 7 ways as a sum of consecutive naturals, for example, 8962245 + ... + 8970244.

Almost surely, 2^71729956000 is an apocalyptic number.

It is an amenable number.

71729956000 is an abundant number, since it is smaller than the sum of its proper divisors (104510555720).

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

71729956000 is a wasteful number, since it uses less digits than its factorization.

71729956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17932514 (or 17932496 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 46.

The spelling of 71729956000 in words is "seventy-one billion, seven hundred twenty-nine million, nine hundred fifty-six thousand".