72405007117 has 2 divisors, whose sum is σ = 72405007118. Its totient is φ = 72405007116.

The previous prime is 72405007097. The next prime is 72405007141. The reversal of 72405007117 is 71170050427.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37742387076 + 34662620041 = 194274^2 + 186179^2 .

It is a cyclic number.

It is not a de Polignac number, because 72405007117 - 2¹¹ = 72405005069 is a prime.

It is a super-2 number, since 2×72405007117² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72405007517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36202503558 + 36202503559.

It is an arithmetic number, because the mean of its divisors is an integer number (36202503559).

Almost surely, 2^72405007117 is an apocalyptic number.

It is an amenable number.

72405007117 is a deficient number, since it is larger than the sum of its proper divisors (1).

72405007117 is an equidigital number, since it uses as much as digits as its factorization.

72405007117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13720, while the sum is 34.

The spelling of 72405007117 in words is "seventy-two billion, four hundred five million, seven thousand, one hundred seventeen".