72782640009 has 6 divisors (see below), whose sum is σ = 105130480026. Its totient is φ = 48521760000.

The previous prime is 72782639987. The next prime is 72782640031. The reversal of 72782640009 is 90004628727.

It is an interprime number because it is at equal distance from previous prime (72782639987) and next prime (72782640031).

It can be written as a sum of positive squares in only one way, i.e., 70354910025 + 2427729984 = 265245^2 + 49272^2 .

It is a de Polignac number, because none of the positive numbers 2^k-72782640009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72782640079) 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 5 ways as a sum of consecutive naturals, for example, 4043479992 + ... + 4043480009.

It is an arithmetic number, because the mean of its divisors is an integer number (17521746671).

Almost surely, 2^72782640009 is an apocalyptic number.

It is an amenable number.

72782640009 is a deficient number, since it is larger than the sum of its proper divisors (32347840017).

72782640009 is a wasteful number, since it uses less digits than its factorization.

72782640009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8086960007 (or 8086960004 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 72782640009 in words is "seventy-two billion, seven hundred eighty-two million, six hundred forty thousand, nine".