72105614113 has 16 divisors (see below), whose sum is σ = 78166480896. Its totient is φ = 66119616000.

The previous prime is 72105614093. The next prime is 72105614183. The reversal of 72105614113 is 31141650127.

It is a cyclic number.

It is not a de Polignac number, because 72105614113 - 2¹³ = 72105605921 is a prime.

It is a super-2 number, since 2×72105614113² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72105614183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1220881 + ... + 1278577.

It is an arithmetic number, because the mean of its divisors is an integer number (4885405056).

Almost surely, 2^72105614113 is an apocalyptic number.

It is an amenable number.

72105614113 is a deficient number, since it is larger than the sum of its proper divisors (6060866783).

72105614113 is a wasteful number, since it uses less digits than its factorization.

72105614113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58344.

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 72105614113 in words is "seventy-two billion, one hundred five million, six hundred fourteen thousand, one hundred thirteen".