72829611692827 has 16 divisors (see below), whose sum is σ = 79801547058432. Its totient is φ = 65916194338720.

The previous prime is 72829611692821. The next prime is 72829611692839.

It is a happy number.

72829611692827 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72829611692827 - 2¹⁵ = 72829611660059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72829611692821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255567873 + ... + 255852685.

It is an arithmetic number, because the mean of its divisors is an integer number (4987596691152).

Almost surely, 2^{72829611692827} is an apocalyptic number.

72829611692827 is a deficient number, since it is larger than the sum of its proper divisors (6971935365605).

72829611692827 is a wasteful number, since it uses less digits than its factorization.

72829611692827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387458.

The product of its digits is 146313216, while the sum is 70.

The spelling of 72829611692827 in words is "seventy-two trillion, eight hundred twenty-nine billion, six hundred eleven million, six hundred ninety-two thousand, eight hundred twenty-seven".