71918352576 has 560 divisors, whose sum is σ = 261673701696. Its totient is φ = 19062521856.

The previous prime is 71918352563. The next prime is 71918352577. The reversal of 71918352576 is 67525381917.

71918352576 is a `hidden beast` number, since 7 + 1 + 9 + 18 + 3 + 52 + 576 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (71918352577) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45032610 + ... + 45034206.

Almost surely, 2^71918352576 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 71918352576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130836850848).

71918352576 is an abundant number, since it is smaller than the sum of its proper divisors (189755349120).

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

71918352576 is a wasteful number, since it uses less digits than its factorization.

71918352576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1699 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 71918352576 in words is "seventy-one billion, nine hundred eighteen million, three hundred fifty-two thousand, five hundred seventy-six".