537472 has 64 divisors (see below), whose sum is σ = 1285200. Its totient is φ = 221184.

The previous prime is 537413. The next prime is 537497. The reversal of 537472 is 274735.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 537472.

It is a congruent number.

It is an unprimeable number.

537472 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, 28279 + ... + 28297.

537472 is a Friedman number, since it can be written as 32*(7^5-7-4), using all its digits and the basic arithmetic operations.

2⁵³⁷⁴⁷² is an apocalyptic number.

537472 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 537472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642600).

537472 is an abundant number, since it is smaller than the sum of its proper divisors (747728).

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

537472 is a wasteful number, since it uses less digits than its factorization.

537472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 51 counting only the distinct ones).

The product of its digits is 5880, while the sum is 28.

The square root of 537472 is about 733.1248188406. The cubic root of 537472 is about 81.3052547228.

The spelling of 537472 in words is "five hundred thirty-seven thousand, four hundred seventy-two".