537672 has 32 divisors (see below), whose sum is σ = 1378080. Its totient is φ = 174720.

The previous prime is 537661. The next prime is 537673. The reversal of 537672 is 276735.

It is a d-powerful number, because it can be written as 5 + 3¹² + 6⁴ + 7⁴ + 7⁴ + 2⁷ .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (537673) by changing a digit.

537672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 772 + ... + 1292.

It is an arithmetic number, because the mean of its divisors is an integer number (43065).

2⁵³⁷⁶⁷² 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 537672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689040).

537672 is an abundant number, since it is smaller than the sum of its proper divisors (840408).

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

537672 is a wasteful number, since it uses less digits than its factorization.

537672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 569 counting only the distinct ones).

The product of its digits is 8820, while the sum is 30.

The square root of 537672 is about 733.2612085744. The cubic root of 537672 is about 81.3153383701.

The spelling of 537672 in words is "five hundred thirty-seven thousand, six hundred seventy-two".