72507269 has 2 divisors, whose sum is σ = 72507270. Its totient is φ = 72507268.

The previous prime is 72507257. The next prime is 72507271. The reversal of 72507269 is 96270527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72471169 + 36100 = 8513^2 + 190^2 .

It is a cyclic number.

It is not a de Polignac number, because 72507269 - 2²⁰ = 71458693 is a prime.

It is a super-2 number, since 2×72507269² = 10514608115676722, which contains 22 as substring.

Together with 72507271, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72507289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36253634 + 36253635.

It is an arithmetic number, because the mean of its divisors is an integer number (36253635).

Almost surely, 2^72507269 is an apocalyptic number.

It is an amenable number.

72507269 is a deficient number, since it is larger than the sum of its proper divisors (1).

72507269 is an equidigital number, since it uses as much as digits as its factorization.

72507269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 72507269 is about 8515.1200226421. The cubic root of 72507269 is about 416.9914809816.

The spelling of 72507269 in words is "seventy-two million, five hundred seven thousand, two hundred sixty-nine".