8272032805920 has 288 divisors, whose sum is σ = 29700493300800. Its totient is φ = 1929024294912.

The previous prime is 8272032805903. The next prime is 8272032805943. The reversal of 8272032805920 is 295082302728.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8272032805920.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1142215 + ... + 4224774.

It is an arithmetic number, because the mean of its divisors is an integer number (103126712850).

Almost surely, 2^{8272032805920} is an apocalyptic number.

8272032805920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8272032805920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14850246650400).

8272032805920 is an abundant number, since it is smaller than the sum of its proper divisors (21428460494880).

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

8272032805920 is a wasteful number, since it uses less digits than its factorization.

8272032805920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367052 (or 5367031 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 8272032805920 in words is "eight trillion, two hundred seventy-two billion, thirty-two million, eight hundred five thousand, nine hundred twenty".