541272 has 32 divisors (see below), whose sum is σ = 1425600. Its totient is φ = 170784.

The previous prime is 541271. The next prime is 541283. The reversal of 541272 is 272145.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (44550).

2⁵⁴¹²⁷² 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 541272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712800).

541272 is an abundant number, since it is smaller than the sum of its proper divisors (884328).

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

541272 is a wasteful number, since it uses less digits than its factorization.

541272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1211 counting only the distinct ones).

The product of its digits is 560, while the sum is 21.

The square root of 541272 is about 735.7119001348. The cubic root of 541272 is about 81.4964179740.

It can be divided in two parts, 54 and 1272, that added together give a triangular number (1326 = T₅₁).

The spelling of 541272 in words is "five hundred forty-one thousand, two hundred seventy-two".