6072 has 32 divisors (see below), whose sum is σ = 17280. Its totient is φ = 1760.

The previous prime is 6067. The next prime is 6073. The reversal of 6072 is 2706.

Added to its reverse (2706) it gives a triangular number (8778 = T₁₃₂).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253 + ... + 275.

It is an arithmetic number, because the mean of its divisors is an integer number (540).

2⁶⁰⁷² 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 6072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8640).

6072 is an abundant number, since it is smaller than the sum of its proper divisors (11208).

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

6072 is a wasteful number, since it uses less digits than its factorization.

6072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 6072 is about 77.9230389551. The cubic root of 6072 is about 18.2436019356.

Adding to 6072 its reverse (2706), we get a palindrome (8778).

The spelling of 6072 in words is "six thousand, seventy-two".