72706801349 has 32 divisors (see below), whose sum is σ = 92739064320. Its totient is φ = 55441757952.

The previous prime is 72706801337. The next prime is 72706801351. The reversal of 72706801349 is 94310860727.

It is not a de Polignac number, because 72706801349 - 2¹² = 72706797253 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72706801549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1445192 + ... + 1494654.

It is an arithmetic number, because the mean of its divisors is an integer number (2898095760).

Almost surely, 2^72706801349 is an apocalyptic number.

It is an amenable number.

72706801349 is a deficient number, since it is larger than the sum of its proper divisors (20032262971).

72706801349 is a wasteful number, since it uses less digits than its factorization.

72706801349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50069.

The product of its (nonzero) digits is 508032, while the sum is 47.

The spelling of 72706801349 in words is "seventy-two billion, seven hundred six million, eight hundred one thousand, three hundred forty-nine".