72144233161129 has 16 divisors (see below), whose sum is σ = 73982884306320. Its totient is φ = 70334288640000.

The previous prime is 72144233161127. The next prime is 72144233161183. The reversal of 72144233161129 is 92116133244127.

It can be written as a sum of positive squares in 8 ways, for example, as 3331944729 + 72140901216400 = 57723^2 + 8493580^2 .

It is a cyclic number.

It is not a de Polignac number, because 72144233161129 - 2¹ = 72144233161127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72144233161127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14484762 + ... + 18817459.

It is an arithmetic number, because the mean of its divisors is an integer number (4623930269145).

Almost surely, 2^{72144233161129} is an apocalyptic number.

It is an amenable number.

72144233161129 is a deficient number, since it is larger than the sum of its proper divisors (1838651145191).

72144233161129 is a wasteful number, since it uses less digits than its factorization.

72144233161129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33302652.

The product of its digits is 435456, while the sum is 46.

The spelling of 72144233161129 in words is "seventy-two trillion, one hundred forty-four billion, two hundred thirty-three million, one hundred sixty-one thousand, one hundred twenty-nine".