72807882337 has 16 divisors (see below), whose sum is σ = 75341508480. Its totient is φ = 70318714752.

The previous prime is 72807882331. The next prime is 72807882347. The reversal of 72807882337 is 73328870827.

It is a happy number.

It is not a de Polignac number, because 72807882337 - 2¹⁹ = 72807358049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72807882331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5707188 + ... + 5719930.

It is an arithmetic number, because the mean of its divisors is an integer number (4708844280).

Almost surely, 2^72807882337 is an apocalyptic number.

It is an amenable number.

72807882337 is a deficient number, since it is larger than the sum of its proper divisors (2533626143).

72807882337 is a wasteful number, since it uses less digits than its factorization.

72807882337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14472.

The product of its (nonzero) digits is 6322176, while the sum is 55.

The spelling of 72807882337 in words is "seventy-two billion, eight hundred seven million, eight hundred eighty-two thousand, three hundred thirty-seven".