535272 has 16 divisors (see below), whose sum is σ = 1338240. Its totient is φ = 178416.

The previous prime is 535243. The next prime is 535273. The reversal of 535272 is 272535.

It is a super-3 number, since 3×535272³ = 460092160093330944, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 22303 = 535272 / (5 + 3 + 5 + 2 + 7 + 2).

It is a d-powerful number, because it can be written as 5⁴ + 3¹² + 2⁴ + 5⁵ + 7² + 2⁴ .

It is not an unprimeable number, because it can be changed into a prime (535273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11128 + ... + 11175.

It is an arithmetic number, because the mean of its divisors is an integer number (83640).

2⁵³⁵²⁷² is an apocalyptic number.

It is an amenable number.

535272 is an abundant number, since it is smaller than the sum of its proper divisors (802968).

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

535272 is a wasteful number, since it uses less digits than its factorization.

535272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22312 (or 22308 counting only the distinct ones).

The product of its digits is 2100, while the sum is 24.

The square root of 535272 is about 731.6228536616. The cubic root of 535272 is about 81.1941691397.

The spelling of 535272 in words is "five hundred thirty-five thousand, two hundred seventy-two".