72289734461569 has 9 divisors (see below), whose sum is σ = 72461522433601. Its totient is φ = 72118352854660.

The previous prime is 72289734461449. The next prime is 72289734461579. The reversal of 72289734461569 is 96516443798227.

The square root of 72289734461569 is 8502337.

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

It is not a de Polignac number, because 72289734461569 - 2²⁹ = 72289197590657 is a prime.

It is a super-3 number, since 3×72289734461569³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72289734461579) 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, 3664497384 + ... + 3664517110.

Almost surely, 2^{72289734461569} is an apocalyptic number.

72289734461569 is the 8502337-th square number.

72289734461569 is the 4251169-th centered octagonal number.

It is an amenable number.

72289734461569 is a deficient number, since it is larger than the sum of its proper divisors (171787972032).

72289734461569 is an frugal number, since it uses more digits than its factorization.

72289734461569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40316 (or 20158 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 73.

The spelling of 72289734461569 in words is "seventy-two trillion, two hundred eighty-nine billion, seven hundred thirty-four million, four hundred sixty-one thousand, five hundred sixty-nine".