72839338049 has 16 divisors (see below), whose sum is σ = 79400364480. Its totient is φ = 66593741760.

The previous prime is 72839337971. The next prime is 72839338057. The reversal of 72839338049 is 94083393827.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72839338049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72839337985 and 72839338003.

It is not an unprimeable number, because it can be changed into a prime (72839338349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531467 + ... + 654320.

It is an arithmetic number, because the mean of its divisors is an integer number (4962522780).

Almost surely, 2^72839338049 is an apocalyptic number.

It is an amenable number.

72839338049 is a deficient number, since it is larger than the sum of its proper divisors (6561026431).

72839338049 is a wasteful number, since it uses less digits than its factorization.

72839338049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185920.

The product of its (nonzero) digits is 7838208, while the sum is 56.

The spelling of 72839338049 in words is "seventy-two billion, eight hundred thirty-nine million, three hundred thirty-eight thousand, forty-nine".