8038272 has 96 divisors (see below), whose sum is σ = 23604840. Its totient is φ = 2421760.

The previous prime is 8038271. The next prime is 8038279. The reversal of 8038272 is 2728308.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8038272² = 129227633491968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8038271) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 46378 + ... + 46550.

Almost surely, 2^8038272 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 8038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11802420).

8038272 is an abundant number, since it is smaller than the sum of its proper divisors (15566568).

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

8038272 is a wasteful number, since it uses less digits than its factorization.

8038272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 8038272 is about 2835.1846500713. The cubic root of 8038272 is about 200.3184260884.

The spelling of 8038272 in words is "eight million, thirty-eight thousand, two hundred seventy-two".