8272000 has 128 divisors (see below), whose sum is σ = 22913280. Its totient is φ = 2944000.

The previous prime is 8271983. The next prime is 8272057. The reversal of 8272000 is 2728.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175977 + ... + 176023.

It is an arithmetic number, because the mean of its divisors is an integer number (179010).

Almost surely, 2^8272000 is an apocalyptic number.

8272000 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 8272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11456640).

8272000 is an abundant number, since it is smaller than the sum of its proper divisors (14641280).

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

8272000 is a wasteful number, since it uses less digits than its factorization.

8272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 8272000 is about 2876.1084819596. The cubic root of 8272000 is about 202.2414522809.

Adding to 8272000 its reverse (2728), we get a palindrome (8274728).

The spelling of 8272000 in words is "eight million, two hundred seventy-two thousand".