71745229609 has 27 divisors (see below), whose sum is σ = 75680150871. Its totient is φ = 68013233760.

The previous prime is 71745229603. The next prime is 71745229637. The reversal of 71745229609 is 90692254717.

The square root of 71745229609 is 267853.

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., 3457087209 + 68288142400 = 58797^2 + 261320^2 .

It is not a de Polignac number, because 71745229609 - 2⁹ = 71745229097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71745229603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 516152662 + ... + 516152800.

Almost surely, 2^71745229609 is an apocalyptic number.

71745229609 is the 267853-rd square number.

71745229609 is the 133927-th centered octagonal number.

It is an amenable number.

71745229609 is a deficient number, since it is larger than the sum of its proper divisors (3934921262).

71745229609 is an frugal number, since it uses more digits than its factorization.

71745229609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 71745229609 in words is "seventy-one billion, seven hundred forty-five million, two hundred twenty-nine thousand, six hundred nine".