72093137 has 2 divisors, whose sum is σ = 72093138. Its totient is φ = 72093136.

The previous prime is 72093097. The next prime is 72093143. The reversal of 72093137 is 73139027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36857041 + 35236096 = 6071^2 + 5936^2 .

It is a cyclic number.

It is not a de Polignac number, because 72093137 - 2¹⁰ = 72092113 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72093167) 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, 36046568 + 36046569.

It is an arithmetic number, because the mean of its divisors is an integer number (36046569).

Almost surely, 2^72093137 is an apocalyptic number.

It is an amenable number.

72093137 is a deficient number, since it is larger than the sum of its proper divisors (1).

72093137 is an equidigital number, since it uses as much as digits as its factorization.

72093137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938, while the sum is 32.

The square root of 72093137 is about 8490.7677509163. The cubic root of 72093137 is about 416.1960695098.

The spelling of 72093137 in words is "seventy-two million, ninety-three thousand, one hundred thirty-seven".