72832608000 has 360 divisors, whose sum is σ = 271042371600. Its totient is φ = 19421337600.

The previous prime is 72832607971. The next prime is 72832608029. The reversal of 72832608000 is 80623827.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72832607971) and next prime (72832608029).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2577951 + ... + 2606049.

Almost surely, 2^72832608000 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 72832608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135521185800).

72832608000 is an abundant number, since it is smaller than the sum of its proper divisors (198209763600).

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

72832608000 is an equidigital number, since it uses as much as digits as its factorization.

72832608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28142 (or 28109 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 72832608000 in words is "seventy-two billion, eight hundred thirty-two million, six hundred eight thousand".