72643301 has 2 divisors, whose sum is σ = 72643302. Its totient is φ = 72643300.

The previous prime is 72643283. The next prime is 72643331. The reversal of 72643301 is 10334627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63218401 + 9424900 = 7951^2 + 3070^2 .

It is a cyclic number.

It is not a de Polignac number, because 72643301 - 2⁶ = 72643237 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72643331) 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, 36321650 + 36321651.

It is an arithmetic number, because the mean of its divisors is an integer number (36321651).

Almost surely, 2^72643301 is an apocalyptic number.

It is an amenable number.

72643301 is a deficient number, since it is larger than the sum of its proper divisors (1).

72643301 is an equidigital number, since it uses as much as digits as its factorization.

72643301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 72643301 is about 8523.1039533729. The cubic root of 72643301 is about 417.2520927756.

Adding to 72643301 its reverse (10334627), we get a palindrome (82977928).

The spelling of 72643301 in words is "seventy-two million, six hundred forty-three thousand, three hundred one".