72785858727 has 32 divisors (see below), whose sum is σ = 104476458240. Its totient is φ = 44989620480.

The previous prime is 72785858707. The next prime is 72785858729.

It is a happy number.

72785858727 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72785858727 - 2⁸ = 72785858471 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72785858729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9724 + ... + 381662.

It is an arithmetic number, because the mean of its divisors is an integer number (3264889320).

Almost surely, 2^72785858727 is an apocalyptic number.

72785858727 is a deficient number, since it is larger than the sum of its proper divisors (31690599513).

72785858727 is a wasteful number, since it uses less digits than its factorization.

72785858727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372063.

The product of its digits is 122931200, while the sum is 66.

The spelling of 72785858727 in words is "seventy-two billion, seven hundred eighty-five million, eight hundred fifty-eight thousand, seven hundred twenty-seven".