72385385129 has 8 divisors (see below), whose sum is σ = 72572880072. Its totient is φ = 72198023040.

The previous prime is 72385385123. The next prime is 72385385141. The reversal of 72385385129 is 92158358327.

It can be written as a sum of positive squares in 4 ways, for example, as 1099055104 + 71286330025 = 33152^2 + 266995^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72385385129 - 2³² = 68090417833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72385385123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1108307 + ... + 1171799.

It is an arithmetic number, because the mean of its divisors is an integer number (9071610009).

Almost surely, 2^72385385129 is an apocalyptic number.

It is an amenable number.

72385385129 is a deficient number, since it is larger than the sum of its proper divisors (187494943).

72385385129 is a wasteful number, since it uses less digits than its factorization.

72385385129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66427.

The product of its digits is 3628800, while the sum is 53.

The spelling of 72385385129 in words is "seventy-two billion, three hundred eighty-five million, three hundred eighty-five thousand, one hundred twenty-nine".