72365837 has 2 divisors, whose sum is σ = 72365838. Its totient is φ = 72365836.

The previous prime is 72365831. The next prime is 72365857. The reversal of 72365837 is 73856327.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70073641 + 2292196 = 8371^2 + 1514^2 .

It is a cyclic number.

It is not a de Polignac number, because 72365837 - 2¹⁸ = 72103693 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72365794 and 72365803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72365831) 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 as a sum of consecutive naturals, namely, 36182918 + 36182919.

It is an arithmetic number, because the mean of its divisors is an integer number (36182919).

Almost surely, 2^72365837 is an apocalyptic number.

It is an amenable number.

72365837 is a deficient number, since it is larger than the sum of its proper divisors (1).

72365837 is an equidigital number, since it uses as much as digits as its factorization.

72365837 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 211680, while the sum is 41.

The square root of 72365837 is about 8506.8112121993. The cubic root of 72365837 is about 416.7201779452.

The spelling of 72365837 in words is "seventy-two million, three hundred sixty-five thousand, eight hundred thirty-seven".