42730272 has 144 divisors (see below), whose sum is σ = 133326648. Its totient is φ = 12902400.

The previous prime is 42730249. The next prime is 42730277. The reversal of 42730272 is 27203724.

It can be written as a sum of positive squares in 4 ways, for example, as 28259856 + 14470416 = 5316^2 + 3804^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×42730272² = 3651752290387968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42730277) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 378088 + ... + 378200.

Almost surely, 2^42730272 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 42730272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66663324).

42730272 is an abundant number, since it is smaller than the sum of its proper divisors (90596376).

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

42730272 is a wasteful number, since it uses less digits than its factorization.

42730272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 42730272 is about 6536.8396033557. The cubic root of 42730272 is about 349.6057383590.

Adding to 42730272 its reverse (27203724), we get a palindrome (69933996).

The spelling of 42730272 in words is "forty-two million, seven hundred thirty thousand, two hundred seventy-two".