8024272 has 20 divisors (see below), whose sum is σ = 16462116. Its totient is φ = 3776000.

The previous prime is 8024249. The next prime is 8024279. The reversal of 8024272 is 2724208.

It can be written as a sum of positive squares in 2 ways, for example, as 4769856 + 3254416 = 2184^2 + 1804^2 .

It is a super-2 number, since 2×8024272² = 128777882259968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8024279) 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 3 ways as a sum of consecutive naturals, for example, 14479 + ... + 15022.

Almost surely, 2^8024272 is an apocalyptic number.

It is an amenable number.

8024272 is an abundant number, since it is smaller than the sum of its proper divisors (8437844).

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

8024272 is a wasteful number, since it uses less digits than its factorization.

8024272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29526 (or 29520 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 8024272 is about 2832.7145991081. The cubic root of 8024272 is about 200.2020624517.

The spelling of 8024272 in words is "eight million, twenty-four thousand, two hundred seventy-two".