6003072 has 96 divisors (see below), whose sum is σ = 18007080. Its totient is φ = 1990656.

The previous prime is 6003059. The next prime is 6003077. The reversal of 6003072 is 2703006.

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

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6003077) 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, 31008 + ... + 31200.

Almost surely, 2^6003072 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 6003072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9003540).

6003072 is an abundant number, since it is smaller than the sum of its proper divisors (12004008).

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

6003072 is an equidigital number, since it uses as much as digits as its factorization.

6003072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 6003072 is about 2450.1167319130. The cubic root of 6003072 is about 181.7430661834.

Adding to 6003072 its reverse (2703006), we get a palindrome (8706078).

The spelling of 6003072 in words is "six million, three thousand, seventy-two".