72167610105 has 12 divisors (see below), whose sum is σ = 125090524260. Its totient is φ = 38489392032.

The previous prime is 72167610083. The next prime is 72167610161. The reversal of 72167610105 is 50101676127.

72167610105 is a `hidden beast` number, since 7 + 21 + 6 + 7 + 610 + 10 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27653361849 + 44514248256 = 166293^2 + 210984^2 .

It is not a de Polignac number, because 72167610105 - 2⁶ = 72167610041 is a prime.

It is a super-2 number, since 2×72167610105² (a number of 23 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 72167610105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 801862290 + ... + 801862379.

It is an arithmetic number, because the mean of its divisors is an integer number (10424210355).

Almost surely, 2^72167610105 is an apocalyptic number.

It is an amenable number.

72167610105 is a deficient number, since it is larger than the sum of its proper divisors (52922914155).

72167610105 is a wasteful number, since it uses less digits than its factorization.

72167610105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603724680 (or 1603724677 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 72167610105 in words is "seventy-two billion, one hundred sixty-seven million, six hundred ten thousand, one hundred five".