72869042016 has 192 divisors, whose sum is σ = 218908892160. Its totient is φ = 23565012480.

The previous prime is 72869041957. The next prime is 72869042021. The reversal of 72869042016 is 61024096827.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11729151 + ... + 11735361.

It is an arithmetic number, because the mean of its divisors is an integer number (1140150480).

Almost surely, 2^72869042016 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 72869042016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109454446080).

72869042016 is an abundant number, since it is smaller than the sum of its proper divisors (146039850144).

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

72869042016 is a wasteful number, since it uses less digits than its factorization.

72869042016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6634 (or 6620 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 72869042016 in words is "seventy-two billion, eight hundred sixty-nine million, forty-two thousand, sixteen".