71969812992 has 480 divisors, whose sum is σ = 270252702720. Its totient is φ = 17878671360.

The previous prime is 71969812961. The next prime is 71969813009. The reversal of 71969812992 is 29921896917.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8156359 + ... + 8165177.

It is an arithmetic number, because the mean of its divisors is an integer number (563026464).

Almost surely, 2^71969812992 is an apocalyptic number.

71969812992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71969812992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135126351360).

71969812992 is an abundant number, since it is smaller than the sum of its proper divisors (198282889728).

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

71969812992 is a wasteful number, since it uses less digits than its factorization.

71969812992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8884 (or 8865 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 63.

The spelling of 71969812992 in words is "seventy-one billion, nine hundred sixty-nine million, eight hundred twelve thousand, nine hundred ninety-two".