72172737657105 has 32 divisors (see below), whose sum is σ = 116312937552000. Its totient is φ = 38213547866112.

The previous prime is 72172737657089. The next prime is 72172737657107. The reversal of 72172737657105 is 50175673727127.

It is not a de Polignac number, because 72172737657105 - 2⁴ = 72172737657089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72172737657107) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4325479 + ... + 12769308.

It is an arithmetic number, because the mean of its divisors is an integer number (3634779298500).

Almost surely, 2^{72172737657105} is an apocalyptic number.

It is an amenable number.

72172737657105 is a deficient number, since it is larger than the sum of its proper divisors (44140199894895).

72172737657105 is a wasteful number, since it uses less digits than its factorization.

72172737657105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17096833.

The product of its (nonzero) digits is 30252600, while the sum is 60.

The spelling of 72172737657105 in words is "seventy-two trillion, one hundred seventy-two billion, seven hundred thirty-seven million, six hundred fifty-seven thousand, one hundred five".