71756497065120 has 768 divisors, whose sum is σ = 265642826158080. Its totient is φ = 15943186022400.

The previous prime is 71756497065107. The next prime is 71756497065137. The reversal of 71756497065120 is 2156079465717.

71756497065120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×71756497065120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8957241915 + ... + 8957249925.

It is an arithmetic number, because the mean of its divisors is an integer number (345889096560).

Almost surely, 2^{71756497065120} is an apocalyptic number.

71756497065120 is a gapful number since it is divisible by the number (70) 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 71756497065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132821413079040).

71756497065120 is an abundant number, since it is smaller than the sum of its proper divisors (193886329092960).

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

71756497065120 is a wasteful number, since it uses less digits than its factorization.

71756497065120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8549 (or 8541 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 60.

The spelling of 71756497065120 in words is "seventy-one trillion, seven hundred fifty-six billion, four hundred ninety-seven million, sixty-five thousand, one hundred twenty".