71820097543872 has 1120 divisors, whose sum is σ = 235077747125760. Its totient is φ = 21602101248000.

The previous prime is 71820097543849. The next prime is 71820097543969. The reversal of 71820097543872 is 27834579002817.

71820097543872 is a `hidden beast` number, since 7 + 1 + 8 + 2 + 0 + 0 + 9 + 7 + 543 + 87 + 2 = 666.

It is a super-2 number, since 2×71820097543872² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30679237422 + ... + 30679239762.

It is an arithmetic number, because the mean of its divisors is an integer number (209890845648).

Almost surely, 2^{71820097543872} is an apocalyptic number.

71820097543872 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 71820097543872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117538873562880).

71820097543872 is an abundant number, since it is smaller than the sum of its proper divisors (163257649581888).

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

71820097543872 is a wasteful number, since it uses less digits than its factorization.

71820097543872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 71820097543872 in words is "seventy-one trillion, eight hundred twenty billion, ninety-seven million, five hundred forty-three thousand, eight hundred seventy-two".