72816937 has 2 divisors, whose sum is σ = 72816938. Its totient is φ = 72816936.

The previous prime is 72816901. The next prime is 72816973. The reversal of 72816937 is 73961827.

It is a happy number.

Together with next prime (72816973) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (72816901) and next prime (72816973).

It can be written as a sum of positive squares in only one way, i.e., 48846121 + 23970816 = 6989^2 + 4896^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72816937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72816893 and 72816902.

It is not a weakly prime, because it can be changed into another prime (72856937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36408468 + 36408469.

It is an arithmetic number, because the mean of its divisors is an integer number (36408469).

Almost surely, 2^72816937 is an apocalyptic number.

It is an amenable number.

72816937 is a deficient number, since it is larger than the sum of its proper divisors (1).

72816937 is an equidigital number, since it uses as much as digits as its factorization.

72816937 is an evil number, because the sum of its binary digits is even.

The product of its digits is 127008, while the sum is 43.

The square root of 72816937 is about 8533.2840688682. The cubic root of 72816937 is about 417.5842745243.

The spelling of 72816937 in words is "seventy-two million, eight hundred sixteen thousand, nine hundred thirty-seven".