72657449 has 2 divisors, whose sum is σ = 72657450. Its totient is φ = 72657448.

The previous prime is 72657421. The next prime is 72657451. The reversal of 72657449 is 94475627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66129424 + 6528025 = 8132^2 + 2555^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72657449 is a prime.

Together with 72657451, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72657419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36328724 + 36328725.

It is an arithmetic number, because the mean of its divisors is an integer number (36328725).

Almost surely, 2^72657449 is an apocalyptic number.

It is an amenable number.

72657449 is a deficient number, since it is larger than the sum of its proper divisors (1).

72657449 is an equidigital number, since it uses as much as digits as its factorization.

72657449 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 423360, while the sum is 44.

The square root of 72657449 is about 8523.9338922824. The cubic root of 72657449 is about 417.2791790053.

The spelling of 72657449 in words is "seventy-two million, six hundred fifty-seven thousand, four hundred forty-nine".