72168486127 has 32 divisors (see below), whose sum is σ = 74947910400. Its totient is φ = 69467424768.

The previous prime is 72168486053. The next prime is 72168486149.

72168486127 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 72168486127 - 2¹¹ = 72168484079 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72168486427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260535913 + ... + 260536189.

It is an arithmetic number, because the mean of its divisors is an integer number (2342122200).

Almost surely, 2^72168486127 is an apocalyptic number.

72168486127 is a deficient number, since it is larger than the sum of its proper divisors (2779424273).

72168486127 is a wasteful number, since it uses less digits than its factorization.

72168486127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835.

The product of its digits is 1806336, while the sum is 52.

The spelling of 72168486127 in words is "seventy-two billion, one hundred sixty-eight million, four hundred eighty-six thousand, one hundred twenty-seven".