72766537 has 2 divisors, whose sum is σ = 72766538. Its totient is φ = 72766536.

The previous prime is 72766501. The next prime is 72766571. The reversal of 72766537 is 73566727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61402896 + 11363641 = 7836^2 + 3371^2 .

It is a cyclic number.

It is not a de Polignac number, because 72766537 - 2¹⁹ = 72242249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72766493 and 72766502.

It is not a weakly prime, because it can be changed into another prime (72767537) 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, 36383268 + 36383269.

It is an arithmetic number, because the mean of its divisors is an integer number (36383269).

Almost surely, 2^72766537 is an apocalyptic number.

It is an amenable number.

72766537 is a deficient number, since it is larger than the sum of its proper divisors (1).

72766537 is an equidigital number, since it uses as much as digits as its factorization.

72766537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 370440, while the sum is 43.

The square root of 72766537 is about 8530.3304156404. The cubic root of 72766537 is about 417.4879091004.

The spelling of 72766537 in words is "seventy-two million, seven hundred sixty-six thousand, five hundred thirty-seven".