71065709282304 has 693 divisors, whose sum is σ = 234383363656351. Its totient is φ = 21510784880640.

The previous prime is 71065709282287. The next prime is 71065709282327. The reversal of 71065709282304 is 40328290756017.

It is a happy number.

The square root of 71065709282304 is 8430048.

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

71065709282304 is a `hidden beast` number, since 7 + 1 + 0 + 6 + 57 + 0 + 9 + 282 + 304 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 80119175749 + ... + 80119176635.

It is a 1-persistent number, because it is pandigital, but 2⋅71065709282304 = 142131418564608 is not.

Almost surely, 2^{71065709282304} is an apocalyptic number.

71065709282304 is the 8430048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71065709282304

71065709282304 is an abundant number, since it is smaller than the sum of its proper divisors (163317654374047).

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

71065709282304 is an frugal number, since it uses more digits than its factorization.

71065709282304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 71065709282304 in words is "seventy-one trillion, sixty-five billion, seven hundred nine million, two hundred eighty-two thousand, three hundred four".