72091814329 has 4 divisors (see below), whose sum is σ = 72185077476. Its totient is φ = 71998551184.

The previous prime is 72091814317. The next prime is 72091814341. The reversal of 72091814329 is 92341819027.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 92341819027 = 677 ⋅136398551.

It is an interprime number because it is at equal distance from previous prime (72091814317) and next prime (72091814341).

It can be written as a sum of positive squares in 2 ways, for example, as 8565132304 + 63526682025 = 92548^2 + 252045^2 .

It is a cyclic number.

It is not a de Polignac number, because 72091814329 - 2⁵ = 72091814297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72091814309) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46630414 + ... + 46631959.

It is an arithmetic number, because the mean of its divisors is an integer number (18046269369).

Almost surely, 2^72091814329 is an apocalyptic number.

It is an amenable number.

72091814329 is a deficient number, since it is larger than the sum of its proper divisors (93263147).

72091814329 is an equidigital number, since it uses as much as digits as its factorization.

72091814329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93263146.

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 72091814329 in words is "seventy-two billion, ninety-one million, eight hundred fourteen thousand, three hundred twenty-nine".