72538369 has 2 divisors, whose sum is σ = 72538370. Its totient is φ = 72538368.

The previous prime is 72538331. The next prime is 72538379. The reversal of 72538369 is 96383527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72250000 + 288369 = 8500^2 + 537^2 .

It is a cyclic number.

It is not a de Polignac number, because 72538369 - 2²⁵ = 38983937 is a prime.

It is a super-2 number, since 2×72538369² = 10523629954360322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72538379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36269184 + 36269185.

It is an arithmetic number, because the mean of its divisors is an integer number (36269185).

Almost surely, 2^72538369 is an apocalyptic number.

It is an amenable number.

72538369 is a deficient number, since it is larger than the sum of its proper divisors (1).

72538369 is an equidigital number, since it uses as much as digits as its factorization.

72538369 is an evil number, because the sum of its binary digits is even.

The product of its digits is 272160, while the sum is 43.

The square root of 72538369 is about 8516.9459902009. The cubic root of 72538369 is about 417.0510914709.

The spelling of 72538369 in words is "seventy-two million, five hundred thirty-eight thousand, three hundred sixty-nine".