72368581 has 2 divisors, whose sum is σ = 72368582. Its totient is φ = 72368580.

The previous prime is 72368561. The next prime is 72368599. The reversal of 72368581 is 18586327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63760225 + 8608356 = 7985^2 + 2934^2 .

It is a cyclic number.

It is not a de Polignac number, because 72368581 - 2¹³ = 72360389 is a prime.

It is a super-2 number, since 2×72368581² = 10474423031907122, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72368501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36184290 + 36184291.

It is an arithmetic number, because the mean of its divisors is an integer number (36184291).

Almost surely, 2^72368581 is an apocalyptic number.

It is an amenable number.

72368581 is a deficient number, since it is larger than the sum of its proper divisors (1).

72368581 is an equidigital number, since it uses as much as digits as its factorization.

72368581 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80640, while the sum is 40.

The square root of 72368581 is about 8506.9724931964. The cubic root of 72368581 is about 416.7254450056.

The spelling of 72368581 in words is "seventy-two million, three hundred sixty-eight thousand, five hundred eighty-one".