72009826896 has 120 divisors (see below), whose sum is σ = 216665638464. Its totient is φ = 20548684800.

The previous prime is 72009826879. The next prime is 72009826937. The reversal of 72009826896 is 69862890027.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1917096 + ... + 1954296.

Almost surely, 2^72009826896 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 72009826896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108332819232).

72009826896 is an abundant number, since it is smaller than the sum of its proper divisors (144655811568).

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

72009826896 is a wasteful number, since it uses less digits than its factorization.

72009826896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38049 (or 38036 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 72009826896 in words is "seventy-two billion, nine million, eight hundred twenty-six thousand, eight hundred ninety-six".