72405007097 has 2 divisors, whose sum is σ = 72405007098. Its totient is φ = 72405007096.

The previous prime is 72405007057. The next prime is 72405007117. The reversal of 72405007097 is 79070050427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46605901456 + 25799105641 = 215884^2 + 160621^2 .

It is a cyclic number.

It is not a de Polignac number, because 72405007097 - 2⁶ = 72405007033 is a prime.

It is not a weakly prime, because it can be changed into another prime (72405007057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36202503548 + 36202503549.

It is an arithmetic number, because the mean of its divisors is an integer number (36202503549).

Almost surely, 2^72405007097 is an apocalyptic number.

It is an amenable number.

72405007097 is a deficient number, since it is larger than the sum of its proper divisors (1).

72405007097 is an equidigital number, since it uses as much as digits as its factorization.

72405007097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 123480, while the sum is 41.

The spelling of 72405007097 in words is "seventy-two billion, four hundred five million, seven thousand, ninety-seven".