72735688653727 has 16 divisors (see below), whose sum is σ = 81942039097344. Its totient is φ = 63963465804000.

The previous prime is 72735688653647. The next prime is 72735688653743.

72735688653727 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 72735688653727 - 2⁷ = 72735688653599 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 (72735688653127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43980423 + ... + 45604264.

It is an arithmetic number, because the mean of its divisors is an integer number (5121377443584).

Almost surely, 2^{72735688653727} is an apocalyptic number.

72735688653727 is a deficient number, since it is larger than the sum of its proper divisors (9206350443617).

72735688653727 is a wasteful number, since it uses less digits than its factorization.

72735688653727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89587110.

The product of its digits is 4978713600, while the sum is 76.

The spelling of 72735688653727 in words is "seventy-two trillion, seven hundred thirty-five billion, six hundred eighty-eight million, six hundred fifty-three thousand, seven hundred twenty-seven".