72596142593569 has 9 divisors (see below), whose sum is σ = 84448643417361. Its totient is φ = 62225213958180.

The previous prime is 72596142593519. The next prime is 72596142593573. The reversal of 72596142593569 is 96539524169527.

The square root of 72596142593569 is 8520337.

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

It is not a de Polignac number, because 72596142593569 - 2²¹ = 72596140496417 is a prime.

It is a super-2 number, since 2×72596142593569² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72596142593519) 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, 59033764 + ... + 60250954.

It is an arithmetic number, because the mean of its divisors is an integer number (9383182601929).

Almost surely, 2^{72596142593569} is an apocalyptic number.

72596142593569 is the 8520337-th square number.

72596142593569 is the 4260169-th centered octagonal number.

It is an amenable number.

72596142593569 is a deficient number, since it is larger than the sum of its proper divisors (11852500823792).

72596142593569 is an frugal number, since it uses more digits than its factorization.

72596142593569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434396 (or 1217198 counting only the distinct ones).

The product of its digits is 1102248000, while the sum is 73.

The spelling of 72596142593569 in words is "seventy-two trillion, five hundred ninety-six billion, one hundred forty-two million, five hundred ninety-three thousand, five hundred sixty-nine".