537288 has 32 divisors (see below), whose sum is σ = 1368960. Its totient is φ = 175680.

The previous prime is 537287. The next prime is 537307. The reversal of 537288 is 882735.

It is a Cunningham number, because it is equal to 733²-1.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (537281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1281 + ... + 1647.

It is an arithmetic number, because the mean of its divisors is an integer number (42780).

2⁵³⁷²⁸⁸ 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 537288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684480).

537288 is an abundant number, since it is smaller than the sum of its proper divisors (831672).

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

537288 is a wasteful number, since it uses less digits than its factorization.

537288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 537288 is about 732.9993178714. Note that the first 3 decimals coincide. The cubic root of 537288 is about 81.2959755576.

It can be divided in two parts, 5372 and 88, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 537288 in words is "five hundred thirty-seven thousand, two hundred eighty-eight".