8172320 has 48 divisors (see below), whose sum is σ = 20797560. Its totient is φ = 3016704.

The previous prime is 8172319. The next prime is 8172341. The reversal of 8172320 is 232718.

It can be written as a sum of positive squares in 4 ways, for example, as 3489424 + 4682896 = 1868^2 + 2164^2 .

It is a super-3 number, since 3×8172320³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 116 + ... + 4044.

Almost surely, 2^8172320 is an apocalyptic number.

8172320 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 8172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10398780).

8172320 is an abundant number, since it is smaller than the sum of its proper divisors (12625240).

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

8172320 is a wasteful number, since it uses less digits than its factorization.

8172320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 8172320 is about 2858.7269894133. The cubic root of 8172320 is about 201.4258111578.

The spelling of 8172320 in words is "eight million, one hundred seventy-two thousand, three hundred twenty".