537072 has 40 divisors (see below), whose sum is σ = 1416576. Its totient is φ = 175296.

The previous prime is 537071. The next prime is 537079. The reversal of 537072 is 270735.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537071) 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, 3133 + ... + 3299.

2⁵³⁷⁰⁷² 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 537072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708288).

537072 is an abundant number, since it is smaller than the sum of its proper divisors (879504).

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

537072 is a wasteful number, since it uses less digits than its factorization.

537072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 537072 is about 732.8519632231. The cubic root of 537072 is about 81.2850799210.

The spelling of 537072 in words is "five hundred thirty-seven thousand, seventy-two".