8272107520 has 384 divisors, whose sum is σ = 23032900800. Its totient is φ = 2831155200.

The previous prime is 8272107509. The next prime is 8272107533. The reversal of 8272107520 is 257012728.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 31 ways as a sum of consecutive naturals, for example, 135608290 + ... + 135608350.

Almost surely, 2^8272107520 is an apocalyptic number.

8272107520 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 8272107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11516450400).

8272107520 is an abundant number, since it is smaller than the sum of its proper divisors (14760793280).

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

8272107520 is a wasteful number, since it uses less digits than its factorization.

8272107520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 8272107520 is about 90951.1270958200. The cubic root of 8272107520 is about 2022.4232852631.

The spelling of 8272107520 in words is "eight billion, two hundred seventy-two million, one hundred seven thousand, five hundred twenty".