72935800807 has 12 divisors (see below), whose sum is σ = 74007959904. Its totient is φ = 71878953600.

The previous prime is 72935800793. The next prime is 72935800843. The reversal of 72935800807 is 70800853927.

It is not a de Polignac number, because 72935800807 - 2¹¹ = 72935798759 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 (72935800507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7631682 + ... + 7641232.

It is an arithmetic number, because the mean of its divisors is an integer number (6167329992).

Almost surely, 2^72935800807 is an apocalyptic number.

72935800807 is a deficient number, since it is larger than the sum of its proper divisors (1072159097).

72935800807 is an equidigital number, since it uses as much as digits as its factorization.

72935800807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11130 (or 11057 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

It can be divided in two parts, 7293 and 5800807, that added together give a square (5808100 = 2410²).

The spelling of 72935800807 in words is "seventy-two billion, nine hundred thirty-five million, eight hundred thousand, eight hundred seven".