72673241 has 2 divisors, whose sum is σ = 72673242. Its totient is φ = 72673240.

The previous prime is 72673213. The next prime is 72673277. The reversal of 72673241 is 14237627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43943641 + 28729600 = 6629^2 + 5360^2 .

It is an emirp because it is prime and its reverse (14237627) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72673241 is a prime.

It is a Chen prime.

It is equal to p_4265951 and since 72673241 and 4265951 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 72673198 and 72673207.

It is not a weakly prime, because it can be changed into another prime (72673141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36336620 + 36336621.

It is an arithmetic number, because the mean of its divisors is an integer number (36336621).

Almost surely, 2^72673241 is an apocalyptic number.

It is an amenable number.

72673241 is a deficient number, since it is larger than the sum of its proper divisors (1).

72673241 is an equidigital number, since it uses as much as digits as its factorization.

72673241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14112, while the sum is 32.

The square root of 72673241 is about 8524.8601748064. The cubic root of 72673241 is about 417.3094085070.

The spelling of 72673241 in words is "seventy-two million, six hundred seventy-three thousand, two hundred forty-one".