72824042827 has 4 divisors (see below), whose sum is σ = 73545073056. Its totient is φ = 72103012600.

The previous prime is 72824042807. The next prime is 72824042831.

72824042827 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 72824042827 - 2²⁷ = 72689825099 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72824042807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 360514963 + ... + 360515164.

It is an arithmetic number, because the mean of its divisors is an integer number (18386268264).

Almost surely, 2^72824042827 is an apocalyptic number.

72824042827 is a deficient number, since it is larger than the sum of its proper divisors (721030229).

72824042827 is a wasteful number, since it uses less digits than its factorization.

72824042827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721030228.

The product of its (nonzero) digits is 802816, while the sum is 46.

The spelling of 72824042827 in words is "seventy-two billion, eight hundred twenty-four million, forty-two thousand, eight hundred twenty-seven".