8372728 has 96 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 3144960.

The previous prime is 8372723. The next prime is 8372737. The reversal of 8372728 is 8272738.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8372723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157950 + ... + 158002.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 2^8372728 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 8372728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

8372728 is an abundant number, since it is smaller than the sum of its proper divisors (12311432).

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

8372728 is a wasteful number, since it uses less digits than its factorization.

8372728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 106 counting only the distinct ones).

The product of its digits is 37632, while the sum is 37.

The square root of 8372728 is about 2893.5666572588. The cubic root of 8372728 is about 203.0590395061.

The spelling of 8372728 in words is "eight million, three hundred seventy-two thousand, seven hundred twenty-eight".