71520508512 has 216 divisors, whose sum is σ = 217346731056. Its totient is φ = 22303617024.

The previous prime is 71520508457. The next prime is 71520508573. The reversal of 71520508512 is 21580502517.

71520508512 is a `hidden beast` number, since 7 + 1 + 520 + 50 + 85 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14396653 + ... + 14401619.

It is an arithmetic number, because the mean of its divisors is an integer number (1006234866).

Almost surely, 2^71520508512 is an apocalyptic number.

71520508512 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 71520508512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108673365528).

71520508512 is an abundant number, since it is smaller than the sum of its proper divisors (145826222544).

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

71520508512 is a wasteful number, since it uses less digits than its factorization.

71520508512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 71520508512 in words is "seventy-one billion, five hundred twenty million, five hundred eight thousand, five hundred twelve".