8003072 has 120 divisors (see below), whose sum is σ = 20991960. Its totient is φ = 3010560.

The previous prime is 8003071. The next prime is 8003087. The reversal of 8003072 is 2703008.

It is a super-2 number, since 2×8003072² = 128098322874368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8003071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275954 + ... + 275982.

It is an arithmetic number, because the mean of its divisors is an integer number (174933).

Almost surely, 2^8003072 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 8003072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10495980).

8003072 is an abundant number, since it is smaller than the sum of its proper divisors (12988888).

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

8003072 is a wasteful number, since it uses less digits than its factorization.

8003072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 8003072 is about 2828.9701306306. The cubic root of 8003072 is about 200.0255967239.

The spelling of 8003072 in words is "eight million, three thousand, seventy-two".