71429292872 has 64 divisors (see below), whose sum is σ = 155347785600. Its totient is φ = 30156572160.

The previous prime is 71429292841. The next prime is 71429292881. The reversal of 71429292872 is 27829292417.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3501422 + ... + 3521762.

It is an arithmetic number, because the mean of its divisors is an integer number (2427309150).

Almost surely, 2^71429292872 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 71429292872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77673892800).

71429292872 is an abundant number, since it is smaller than the sum of its proper divisors (83918492728).

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

71429292872 is a wasteful number, since it uses less digits than its factorization.

71429292872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21286 (or 21282 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 53.

The spelling of 71429292872 in words is "seventy-one billion, four hundred twenty-nine million, two hundred ninety-two thousand, eight hundred seventy-two".