72012066337 has 2 divisors, whose sum is σ = 72012066338. Its totient is φ = 72012066336.

The previous prime is 72012066319. The next prime is 72012066367. The reversal of 72012066337 is 73366021027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70463171601 + 1548894736 = 265449^2 + 39356^2 .

It is a cyclic number.

It is not a de Polignac number, because 72012066337 - 2⁷ = 72012066209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72012066296 and 72012066305.

It is not a weakly prime, because it can be changed into another prime (72012066367) 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, 36006033168 + 36006033169.

It is an arithmetic number, because the mean of its divisors is an integer number (36006033169).

Almost surely, 2^72012066337 is an apocalyptic number.

It is an amenable number.

72012066337 is a deficient number, since it is larger than the sum of its proper divisors (1).

72012066337 is an equidigital number, since it uses as much as digits as its factorization.

72012066337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 37.

The spelling of 72012066337 in words is "seventy-two billion, twelve million, sixty-six thousand, three hundred thirty-seven".