72873241 has 12 divisors (see below), whose sum is σ = 84958500. Its totient is φ = 62324640.

The previous prime is 72873233. The next prime is 72873247. The reversal of 72873241 is 14237827.

It can be written as a sum of positive squares in 2 ways, for example, as 17816841 + 55056400 = 4221^2 + 7420^2 .

It is not a de Polignac number, because 72873241 - 2³ = 72873233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72873197 and 72873206.

It is not an unprimeable number, because it can be changed into a prime (72873247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25135 + ... + 27883.

It is an arithmetic number, because the mean of its divisors is an integer number (7079875).

Almost surely, 2^72873241 is an apocalyptic number.

It is an amenable number.

72873241 is a deficient number, since it is larger than the sum of its proper divisors (12085259).

72873241 is a wasteful number, since it uses less digits than its factorization.

72873241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3297 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 72873241 is about 8536.5825129264. The cubic root of 72873241 is about 417.6918758994.

The spelling of 72873241 in words is "seventy-two million, eight hundred seventy-three thousand, two hundred forty-one".