71999977532544 has 192 divisors, whose sum is σ = 219706854452280. Its totient is φ = 22554051379200.

The previous prime is 71999977532507. The next prime is 71999977532627. The reversal of 71999977532544 is 44523577999917.

71999977532544 is a `hidden beast` number, since 7 + 1 + 9 + 9 + 9 + 9 + 77 + 532 + 5 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69030972846144 + 2969004686400 = 8308488^2 + 1723080^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×71999977532544² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10164034 + ... + 15726014.

Almost surely, 2^{71999977532544} 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 71999977532544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109853427226140).

71999977532544 is an abundant number, since it is smaller than the sum of its proper divisors (147706876919736).

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

71999977532544 is a wasteful number, since it uses less digits than its factorization.

71999977532544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5562679 (or 5562664 counting only the distinct ones).

The product of its digits is 5401015200, while the sum is 81.

The spelling of 71999977532544 in words is "seventy-one trillion, nine hundred ninety-nine billion, nine hundred seventy-seven million, five hundred thirty-two thousand, five hundred forty-four".