72106002117 has 24 divisors (see below), whose sum is σ = 113695414560. Its totient is φ = 45540630000.

The previous prime is 72106002049. The next prime is 72106002121. The reversal of 72106002117 is 71120060127.

72106002117 is a `hidden beast` number, since 7 + 21 + 0 + 600 + 21 + 17 = 666.

It is not a de Polignac number, because 72106002117 - 2¹⁴ = 72105985733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72106000117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7804134 + ... + 7813367.

It is an arithmetic number, because the mean of its divisors is an integer number (4737308940).

Almost surely, 2^72106002117 is an apocalyptic number.

It is an amenable number.

72106002117 is a deficient number, since it is larger than the sum of its proper divisors (41589412443).

72106002117 is a wasteful number, since it uses less digits than its factorization.

72106002117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15617535 (or 15617523 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 72106002117 in words is "seventy-two billion, one hundred six million, two thousand, one hundred seventeen".