8048072 has 36 divisors (see below), whose sum is σ = 16306305. Its totient is φ = 3723136.

The previous prime is 8048071. The next prime is 8048081. The reversal of 8048072 is 2708408.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 7365796 + 682276 = 2714^2 + 826^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2006.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8048071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 136379 + ... + 136437.

Almost surely, 2^8048072 is an apocalyptic number.

It is an amenable number.

8048072 is an abundant number, since it is smaller than the sum of its proper divisors (8258233).

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

8048072 is a wasteful number, since it uses less digits than its factorization.

8048072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 8048072 is about 2836.9124061204. The cubic root of 8048072 is about 200.3998002662.

The spelling of 8048072 in words is "eight million, forty-eight thousand, seventy-two".