42727564 has 48 divisors (see below), whose sum is σ = 84268800. Its totient is φ = 18792000.

The previous prime is 42727549. The next prime is 42727567. The reversal of 42727564 is 46572724.

42727564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) 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 (42727567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282889 + ... + 283039.

It is an arithmetic number, because the mean of its divisors is an integer number (1755600).

Almost surely, 2^42727564 is an apocalyptic number.

42727564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42727564 is a deficient number, since it is larger than the sum of its proper divisors (41541236).

42727564 is a wasteful number, since it uses less digits than its factorization.

42727564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 332 counting only the distinct ones).

The product of its digits is 94080, while the sum is 37.

The square root of 42727564 is about 6536.6324663392. The cubic root of 42727564 is about 349.5983528663.

The spelling of 42727564 in words is "forty-two million, seven hundred twenty-seven thousand, five hundred sixty-four".