8272728001 has 8 divisors (see below), whose sum is σ = 8323488360. Its totient is φ = 8222001792.

The previous prime is 8272727999. The next prime is 8272728019. The reversal of 8272728001 is 1008272728.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 293951025 + 7978776976 = 17145^2 + 89324^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8272728001 - 2¹ = 8272727999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8272728091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 614935 + ... + 628243.

It is an arithmetic number, because the mean of its divisors is an integer number (1040436045).

Almost surely, 2^8272728001 is an apocalyptic number.

It is an amenable number.

8272728001 is a deficient number, since it is larger than the sum of its proper divisors (50760359).

8272728001 is a wasteful number, since it uses less digits than its factorization.

8272728001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17075.

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 8272728001 is about 90954.5381000860. The cubic root of 8272728001 is about 2022.4738505249.

The spelling of 8272728001 in words is "eight billion, two hundred seventy-two million, seven hundred twenty-eight thousand, one".