8272032201 has 16 divisors (see below), whose sum is σ = 12260289600. Its totient is φ = 5512245984.

The previous prime is 8272032191. The next prime is 8272032211. The reversal of 8272032201 is 1022302728.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8272032191) and next prime (8272032211).

It is not a de Polignac number, because 8272032201 - 2¹⁰ = 8272031177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8272032211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4671 + ... + 128708.

It is an arithmetic number, because the mean of its divisors is an integer number (766268100).

Almost surely, 2^8272032201 is an apocalyptic number.

It is an amenable number.

8272032201 is a deficient number, since it is larger than the sum of its proper divisors (3988257399).

8272032201 is a wasteful number, since it uses less digits than its factorization.

8272032201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135685 (or 135679 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 8272032201 is about 90950.7130318394. The cubic root of 8272032201 is about 2022.4171470707.

Adding to 8272032201 its reverse (1022302728), we get a palindrome (9294334929).

It can be divided in two parts, 82720 and 32201, that added together give a square (114921 = 339²).

The spelling of 8272032201 in words is "eight billion, two hundred seventy-two million, thirty-two thousand, two hundred one".