71725945489 has 27 divisors (see below), whose sum is σ = 79979054043. Its totient is φ = 64276080000.

The previous prime is 71725945483. The next prime is 71725945537. The reversal of 71725945489 is 98454952717.

The square root of 71725945489 is 267817.

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., 32207686225 + 39518259264 = 179465^2 + 198792^2 .

It is not a de Polignac number, because 71725945489 - 2⁵ = 71725945457 is a prime.

It is a super-2 number, since 2×71725945489² (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 (71725945483) 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, 285760614 + ... + 285760864.

Almost surely, 2^71725945489 is an apocalyptic number.

71725945489 is the 267817-th square number.

71725945489 is the 133909-th centered octagonal number.

It is an amenable number.

71725945489 is a deficient number, since it is larger than the sum of its proper divisors (8253108554).

71725945489 is an frugal number, since it uses more digits than its factorization.

71725945489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 359 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 61.

The spelling of 71725945489 in words is "seventy-one billion, seven hundred twenty-five million, nine hundred forty-five thousand, four hundred eighty-nine".