71306089024 has 63 divisors (see below), whose sum is σ = 146672943001. Its totient is φ = 34393721600.

The previous prime is 71306089021. The next prime is 71306089031. The reversal of 71306089024 is 42098060317.

The square root of 71306089024 is 267032.

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

It can be written as a sum of positive squares in only one way, i.e., 37391183424 + 33914905600 = 193368^2 + 184160^2 .

It is a super-2 number, since 2×71306089024² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71306089021) 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, 61950849 + ... + 61951999.

Almost surely, 2^71306089024 is an apocalyptic number.

71306089024 is the 267032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71306089024

71306089024 is an abundant number, since it is smaller than the sum of its proper divisors (75366853977).

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

71306089024 is an frugal number, since it uses more digits than its factorization.

71306089024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 71306089024 in words is "seventy-one billion, three hundred six million, eighty-nine thousand, twenty-four".