42727008 has 96 divisors (see below), whose sum is σ = 120427776. Its totient is φ = 13229568.

The previous prime is 42727007. The next prime is 42727051. The reversal of 42727008 is 80072724.

42727008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42727007) 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, 81435 + ... + 81957.

It is an arithmetic number, because the mean of its divisors is an integer number (1254456).

Almost surely, 2^42727008 is an apocalyptic number.

42727008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42727008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60213888).

42727008 is an abundant number, since it is smaller than the sum of its proper divisors (77700768).

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

42727008 is a wasteful number, since it uses less digits than its factorization.

42727008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 42727008 is about 6536.5899366566. The cubic root of 42727008 is about 349.5968364562.

The spelling of 42727008 in words is "forty-two million, seven hundred twenty-seven thousand, eight".