71756540928 has 176 divisors, whose sum is σ = 212783521120. Its totient is φ = 23887872000.

The previous prime is 71756540909. The next prime is 71756540929. The reversal of 71756540928 is 82904565717.

71756540928 is a `hidden beast` number, since 7 + 1 + 7 + 5 + 6 + 540 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71756540929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33204168 + ... + 33206328.

Almost surely, 2^71756540928 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 71756540928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106391760560).

71756540928 is an abundant number, since it is smaller than the sum of its proper divisors (141026980192).

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

71756540928 is a wasteful number, since it uses less digits than its factorization.

71756540928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 71756540928 in words is "seventy-one billion, seven hundred fifty-six million, five hundred forty thousand, nine hundred twenty-eight".