72406631374117 has 2 divisors, whose sum is σ = 72406631374118. Its totient is φ = 72406631374116.

The previous prime is 72406631374093. The next prime is 72406631374151. The reversal of 72406631374117 is 71147313660427.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64596165906276 + 7810465467841 = 8037174^2 + 2794721^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72406631374117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72406631374157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36203315687058 + 36203315687059.

It is an arithmetic number, because the mean of its divisors is an integer number (36203315687059).

Almost surely, 2^{72406631374117} is an apocalyptic number.

It is an amenable number.

72406631374117 is a deficient number, since it is larger than the sum of its proper divisors (1).

72406631374117 is an equidigital number, since it uses as much as digits as its factorization.

72406631374117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3556224, while the sum is 52.

The spelling of 72406631374117 in words is "seventy-two trillion, four hundred six billion, six hundred thirty-one million, three hundred seventy-four thousand, one hundred seventeen".