72515488369 has 9 divisors (see below), whose sum is σ = 76538367243. Its totient is φ = 68694036552.

The previous prime is 72515488363. The next prime is 72515488391. The reversal of 72515488369 is 96388451527.

The square root of 72515488369 is 269287.

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., 62948301025 + 9567187344 = 250895^2 + 97812^2 .

It is not a de Polignac number, because 72515488369 - 2¹⁵ = 72515455601 is a prime.

It is a super-2 number, since 2×72515488369² (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 (72515488363) 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, 5109367 + ... + 5123539.

It is an arithmetic number, because the mean of its divisors is an integer number (8504263027).

Almost surely, 2^72515488369 is an apocalyptic number.

72515488369 is the 269287-th square number.

72515488369 is the 134644-th centered octagonal number.

It is an amenable number.

72515488369 is a deficient number, since it is larger than the sum of its proper divisors (4022878874).

72515488369 is an frugal number, since it uses more digits than its factorization.

72515488369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28384 (or 14192 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 58.

The spelling of 72515488369 in words is "seventy-two billion, five hundred fifteen million, four hundred eighty-eight thousand, three hundred sixty-nine".