72863120093 has 2 divisors, whose sum is σ = 72863120094. Its totient is φ = 72863120092.

The previous prime is 72863120087. The next prime is 72863120117. The reversal of 72863120093 is 39002136827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60398960644 + 12464159449 = 245762^2 + 111643^2 .

It is a cyclic number.

It is not a de Polignac number, because 72863120093 - 2¹⁶ = 72863054557 is a prime.

It is a super-3 number, since 3×72863120093³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72863120093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72863120893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36431560046 + 36431560047.

It is an arithmetic number, because the mean of its divisors is an integer number (36431560047).

Almost surely, 2^72863120093 is an apocalyptic number.

It is an amenable number.

72863120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

72863120093 is an equidigital number, since it uses as much as digits as its factorization.

72863120093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 72863120093 in words is "seventy-two billion, eight hundred sixty-three million, one hundred twenty thousand, ninety-three".