72606217009 has 2 divisors, whose sum is σ = 72606217010. Its totient is φ = 72606217008.

The previous prime is 72606216967. The next prime is 72606217069. The reversal of 72606217009 is 90071260627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72285699600 + 320517409 = 268860^2 + 17903^2 .

It is a cyclic number.

It is not a de Polignac number, because 72606217009 - 2¹⁵ = 72606184241 is a prime.

It is not a weakly prime, because it can be changed into another prime (72606217069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36303108504 + 36303108505.

It is an arithmetic number, because the mean of its divisors is an integer number (36303108505).

Almost surely, 2^72606217009 is an apocalyptic number.

It is an amenable number.

72606217009 is a deficient number, since it is larger than the sum of its proper divisors (1).

72606217009 is an equidigital number, since it uses as much as digits as its factorization.

72606217009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63504, while the sum is 40.

The spelling of 72606217009 in words is "seventy-two billion, six hundred six million, two hundred seventeen thousand, nine".