72869415808 has 128 divisors (see below), whose sum is σ = 176689149120. Its totient is φ = 29221748736.

The previous prime is 72869415803. The next prime is 72869415869. The reversal of 72869415808 is 80851496827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72869415803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2621310 + ... + 2648962.

Almost surely, 2^72869415808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72869415808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88344574560).

72869415808 is an abundant number, since it is smaller than the sum of its proper divisors (103819733312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72869415808 is a wasteful number, since it uses less digits than its factorization.

72869415808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27864 (or 27852 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 58.

The spelling of 72869415808 in words is "seventy-two billion, eight hundred sixty-nine million, four hundred fifteen thousand, eight hundred eight".