537732 has 48 divisors (see below), whose sum is σ = 1505280. Its totient is φ = 165024.

The previous prime is 537709. The next prime is 537739. The reversal of 537732 is 237735.

It is a super-4 number, since 4×537732⁴ (a number of 24 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 537696 and 537705.

It is not an unprimeable number, because it can be changed into a prime (537739) by changing a digit.

537732 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 15 ways as a sum of consecutive naturals, for example, 1213 + ... + 1595.

It is an arithmetic number, because the mean of its divisors is an integer number (31360).

2⁵³⁷⁷³² is an apocalyptic number.

537732 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752640).

537732 is an abundant number, since it is smaller than the sum of its proper divisors (967548).

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

537732 is a wasteful number, since it uses less digits than its factorization.

537732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its digits is 4410, while the sum is 27.

The square root of 537732 is about 733.3021205479. The cubic root of 537732 is about 81.3183629767.

The spelling of 537732 in words is "five hundred thirty-seven thousand, seven hundred thirty-two".