71122812928 has 92 divisors (see below), whose sum is σ = 147102612352. Its totient is φ = 34351349760.

The previous prime is 71122812913. The next prime is 71122812931. The reversal of 71122812928 is 82921822117.

It is a super-3 number, since 3×71122812928³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 130023151 + ... + 130023697.

Almost surely, 2^71122812928 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 71122812928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73551306176).

71122812928 is an abundant number, since it is smaller than the sum of its proper divisors (75979799424).

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

71122812928 is an frugal number, since it uses more digits than its factorization.

71122812928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 580 counting only the distinct ones).

The product of its digits is 64512, while the sum is 43.

The spelling of 71122812928 in words is "seventy-one billion, one hundred twenty-two million, eight hundred twelve thousand, nine hundred twenty-eight".