72643205237127 has 64 divisors (see below), whose sum is σ = 117360924033024. Its totient is φ = 39016952409600.

The previous prime is 72643205237087. The next prime is 72643205237131. The reversal of 72643205237127 is 72173250234627.

It is not a de Polignac number, because 72643205237127 - 2⁸ = 72643205236871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 72643205237127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72643205237137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 931487178 + ... + 931565160.

It is an arithmetic number, because the mean of its divisors is an integer number (1833764438016).

Almost surely, 2^{72643205237127} is an apocalyptic number.

72643205237127 is a deficient number, since it is larger than the sum of its proper divisors (44717718795897).

72643205237127 is a wasteful number, since it uses less digits than its factorization.

72643205237127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81428.

The product of its (nonzero) digits is 5927040, while the sum is 51.

The spelling of 72643205237127 in words is "seventy-two trillion, six hundred forty-three billion, two hundred five million, two hundred thirty-seven thousand, one hundred twenty-seven".