542272 has 28 divisors (see below), whose sum is σ = 1109980. Its totient is φ = 262656.

The previous prime is 542263. The next prime is 542281. The reversal of 542272 is 272245.

It is an interprime number because it is at equal distance from previous prime (542263) and next prime (542281).

It can be written as a sum of positive squares in 2 ways, for example, as 495616 + 46656 = 704^2 + 216^2 .

It is a d-powerful number, because it can be written as 5² + 4³ + 2⁶ + 2¹⁰ + 7⁵ + 2¹⁹ .

It is an unprimeable number.

542272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 2254 + ... + 2482.

2⁵⁴²²⁷² 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 542272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554990).

542272 is an abundant number, since it is smaller than the sum of its proper divisors (567708).

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

542272 is a wasteful number, since it uses less digits than its factorization.

542272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its digits is 1120, while the sum is 22.

The square root of 542272 is about 736.3912003820. The cubic root of 542272 is about 81.5465753078.

The spelling of 542272 in words is "five hundred forty-two thousand, two hundred seventy-two".