8896272 has 160 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 2204160.

The previous prime is 8896259. The next prime is 8896273. The reversal of 8896272 is 2726988.

It is a happy number.

8896272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (8896273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107143 + ... + 107225.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 2^8896272 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 8896272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

8896272 is an abundant number, since it is smaller than the sum of its proper divisors (21101808).

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

8896272 is a wasteful number, since it uses less digits than its factorization.

8896272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 8896272 is about 2982.6618983720. The cubic root of 8896272 is about 207.2061704657.

The spelling of 8896272 in words is "eight million, eight hundred ninety-six thousand, two hundred seventy-two".