71327987329 has 9 divisors (see below), whose sum is σ = 73037113569. Its totient is φ = 69657979860.

The previous prime is 71327987321. The next prime is 71327987441. The reversal of 71327987329 is 92378972317.

The square root of 71327987329 is 267073.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 71327987329 - 2³ = 71327987321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71327987321) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11481034 + ... + 11487244.

It is an arithmetic number, because the mean of its divisors is an integer number (8115234841).

Almost surely, 2^71327987329 is an apocalyptic number.

71327987329 is the 267073-rd square number.

71327987329 is the 133537-th centered octagonal number.

It is an amenable number.

71327987329 is a deficient number, since it is larger than the sum of its proper divisors (1709126240).

71327987329 is an frugal number, since it uses more digits than its factorization.

71327987329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12508 (or 6254 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 58.

The spelling of 71327987329 in words is "seventy-one billion, three hundred twenty-seven million, nine hundred eighty-seven thousand, three hundred twenty-nine".