72786268727 has 8 divisors (see below), whose sum is σ = 74578870800. Its totient is φ = 70994491840.

The previous prime is 72786268679. The next prime is 72786268739.

72786268727 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72786268727 - 2⁶ = 72786268663 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72786268727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72786268747) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25793 + ... + 382410.

It is an arithmetic number, because the mean of its divisors is an integer number (9322358850).

Almost surely, 2^72786268727 is an apocalyptic number.

72786268727 is a deficient number, since it is larger than the sum of its proper divisors (1792602073).

72786268727 is a wasteful number, since it uses less digits than its factorization.

72786268727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412593.

The product of its digits is 44255232, while the sum is 62.

The spelling of 72786268727 in words is "seventy-two billion, seven hundred eighty-six million, two hundred sixty-eight thousand, seven hundred twenty-seven".