72136249 has 2 divisors, whose sum is σ = 72136250. Its totient is φ = 72136248.

The previous prime is 72136237. The next prime is 72136271. The reversal of 72136249 is 94263127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69222400 + 2913849 = 8320^2 + 1707^2 .

It is a cyclic number.

It is not a de Polignac number, because 72136249 - 2⁹ = 72135737 is a prime.

It is not a weakly prime, because it can be changed into another prime (72136279) 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, 36068124 + 36068125.

It is an arithmetic number, because the mean of its divisors is an integer number (36068125).

Almost surely, 2^72136249 is an apocalyptic number.

It is an amenable number.

72136249 is a deficient number, since it is larger than the sum of its proper divisors (1).

72136249 is an equidigital number, since it uses as much as digits as its factorization.

72136249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 34.

The square root of 72136249 is about 8493.3061289465. The cubic root of 72136249 is about 416.2790153131.

The spelling of 72136249 in words is "seventy-two million, one hundred thirty-six thousand, two hundred forty-nine".