8728272 has 90 divisors (see below), whose sum is σ = 28438098. Its totient is φ = 2491776.

The previous prime is 8728261. The next prime is 8728273. The reversal of 8728272 is 2728278.

8728272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8156736 + 571536 = 2856^2 + 756^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8728273) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6438 + ... + 7674.

Almost surely, 2^8728272 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 8728272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14219049).

8728272 is an abundant number, since it is smaller than the sum of its proper divisors (19709826).

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

8728272 is a wasteful number, since it uses less digits than its factorization.

8728272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1249 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 8728272 is about 2954.3649063716. The cubic root of 8728272 is about 205.8935573510.

The spelling of 8728272 in words is "eight million, seven hundred twenty-eight thousand, two hundred seventy-two".