8272320 has 112 divisors (see below), whose sum is σ = 30041088. Its totient is φ = 1889280.

The previous prime is 8272309. The next prime is 8272321. The reversal of 8272320 is 232728.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (8272321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6105 + ... + 7335.

It is an arithmetic number, because the mean of its divisors is an integer number (268224).

Almost surely, 2^8272320 is an apocalyptic number.

8272320 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 8272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020544).

8272320 is an abundant number, since it is smaller than the sum of its proper divisors (21768768).

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

8272320 is a wasteful number, since it uses less digits than its factorization.

8272320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 8272320 is about 2876.1641121466. The cubic root of 8272320 is about 202.2440601319.

The spelling of 8272320 in words is "eight million, two hundred seventy-two thousand, three hundred twenty".