8272201184 has 72 divisors (see below), whose sum is σ = 17675893872. Its totient is φ = 3809095680.

The previous prime is 8272201181. The next prime is 8272201187. The reversal of 8272201184 is 4811022728.

It is an interprime number because it is at equal distance from previous prime (8272201181) and next prime (8272201187).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8272201181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2718704 + ... + 2721744.

It is an arithmetic number, because the mean of its divisors is an integer number (245498526).

Almost surely, 2^8272201184 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 8272201184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8837946936).

8272201184 is an abundant number, since it is smaller than the sum of its proper divisors (9403692688).

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

8272201184 is a wasteful number, since it uses less digits than its factorization.

8272201184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 8272201184 is about 90951.6420082672. The cubic root of 8272201184 is about 2022.4309184464.

The spelling of 8272201184 in words is "eight billion, two hundred seventy-two million, two hundred one thousand, one hundred eighty-four".