72765677656727 has 16 divisors (see below), whose sum is σ = 81525444658560. Its totient is φ = 64385563476000.

The previous prime is 72765677656723. The next prime is 72765677656729.

It is a happy number.

72765677656727 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 72765677656727 - 2² = 72765677656723 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 (72765677656723) 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, 554982413 + ... + 555113510.

It is an arithmetic number, because the mean of its divisors is an integer number (5095340291160).

Almost surely, 2^{72765677656727} is an apocalyptic number.

72765677656727 is a deficient number, since it is larger than the sum of its proper divisors (8759767001833).

72765677656727 is a wasteful number, since it uses less digits than its factorization.

72765677656727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110096094.

The product of its digits is 15247310400, while the sum is 80.

The spelling of 72765677656727 in words is "seventy-two trillion, seven hundred sixty-five billion, six hundred seventy-seven million, six hundred fifty-six thousand, seven hundred twenty-seven".