531272 has 32 divisors (see below), whose sum is σ = 1166400. Its totient is φ = 222144.

The previous prime is 531263. The next prime is 531281. The reversal of 531272 is 272135.

It is an interprime number because it is at equal distance from previous prime (531263) and next prime (531281).

It is an Ulam number.

It is a nialpdrome in base 14 and base 15.

It is an unprimeable number.

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, 2879 + ... + 3057.

It is an arithmetic number, because the mean of its divisors is an integer number (36450).

2⁵³¹²⁷² 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 531272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583200).

531272 is an abundant number, since it is smaller than the sum of its proper divisors (635128).

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

531272 is a wasteful number, since it uses less digits than its factorization.

531272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 531272 is about 728.8840785749. The cubic root of 531272 is about 80.9914130002.

The spelling of 531272 in words is "five hundred thirty-one thousand, two hundred seventy-two".