72128023888 has 80 divisors (see below), whose sum is σ = 146306635776. Its totient is φ = 34406386560.

The previous prime is 72128023871. The next prime is 72128023907. The reversal of 72128023888 is 88832082127.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22517295 + ... + 22520497.

Almost surely, 2^72128023888 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 72128023888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73153317888).

72128023888 is an abundant number, since it is smaller than the sum of its proper divisors (74178611888).

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

72128023888 is a wasteful number, since it uses less digits than its factorization.

72128023888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 49.

The spelling of 72128023888 in words is "seventy-two billion, one hundred twenty-eight million, twenty-three thousand, eight hundred eighty-eight".