72382828327 has 32 divisors (see below), whose sum is σ = 79576535808. Its totient is φ = 65566265856.

The previous prime is 72382828283. The next prime is 72382828333.

72382828327 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72382828327 - 2¹⁹ = 72382304039 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 (72382828387) 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 31 ways as a sum of consecutive naturals, for example, 26876793 + ... + 26879485.

It is an arithmetic number, because the mean of its divisors is an integer number (2486766744).

Almost surely, 2^72382828327 is an apocalyptic number.

72382828327 is a deficient number, since it is larger than the sum of its proper divisors (7193707481).

72382828327 is a wasteful number, since it uses less digits than its factorization.

72382828327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279.

The product of its digits is 3612672, while the sum is 52.

The spelling of 72382828327 in words is "seventy-two billion, three hundred eighty-two million, eight hundred twenty-eight thousand, three hundred twenty-seven".