72843417 has 12 divisors (see below), whose sum is σ = 108062500. Its totient is φ = 47249568.

The previous prime is 72843413. The next prime is 72843437. The reversal of 72843417 is 71434827.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 56610576 + 16232841 = 7524^2 + 4029^2 .

It is not a de Polignac number, because 72843417 - 2² = 72843413 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72843413) 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 in 11 ways as a sum of consecutive naturals, for example, 109042 + ... + 109707.

Almost surely, 2^72843417 is an apocalyptic number.

It is an amenable number.

72843417 is a deficient number, since it is larger than the sum of its proper divisors (35219083).

72843417 is a wasteful number, since it uses less digits than its factorization.

72843417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218792 (or 218789 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 72843417 is about 8534.8354992935. The cubic root of 72843417 is about 417.6348867946.

It can be divided in two parts, 7284 and 3417, that added together give a palindrome (10701).

The spelling of 72843417 in words is "seventy-two million, eight hundred forty-three thousand, four hundred seventeen".