8272512 has 96 divisors (see below), whose sum is σ = 24504480. Its totient is φ = 2677248.

The previous prime is 8272493. The next prime is 8272513. The reversal of 8272512 is 2152728.

8272512 is a `hidden beast` number, since 82 + 72 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (8272513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49453 + ... + 49619.

It is an arithmetic number, because the mean of its divisors is an integer number (255255).

Almost surely, 2^8272512 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 8272512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12252240).

8272512 is an abundant number, since it is smaller than the sum of its proper divisors (16231968).

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

8272512 is a wasteful number, since it uses less digits than its factorization.

8272512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 8272512 is about 2876.1974897423. The cubic root of 8272512 is about 202.2456248102.

The spelling of 8272512 in words is "eight million, two hundred seventy-two thousand, five hundred twelve".