540872 has 32 divisors (see below), whose sum is σ = 1111320. Its totient is φ = 245760.

The previous prime is 540871. The next prime is 540877. The reversal of 540872 is 278045.

It can be written as a sum of positive squares in 4 ways, for example, as 391876 + 148996 = 626^2 + 386^2 .

It is not an unprimeable number, because it can be changed into a prime (540871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5528 + ... + 5624.

2⁵⁴⁰⁸⁷² is an apocalyptic number.

It is an amenable number.

540872 is an abundant number, since it is smaller than the sum of its proper divisors (570448).

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

540872 is a wasteful number, since it uses less digits than its factorization.

540872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 540872 is about 735.4400043511. The cubic root of 540872 is about 81.4763377428.

It can be divided in two parts, 5408 and 72, that multiplied together give a square (389376 = 624²).

The spelling of 540872 in words is "five hundred forty thousand, eight hundred seventy-two".