42162912 has 72 divisors (see below), whose sum is σ = 130810680. Its totient is φ = 12775680.

The previous prime is 42162889. The next prime is 42162917. The reversal of 42162912 is 21926124.

42162912 is a `hidden beast` number, since 4 + 21 + 629 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×42162912² = 3555422296639488, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42162917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3487 + ... + 9822.

It is an arithmetic number, because the mean of its divisors is an integer number (1816815).

Almost surely, 2^42162912 is an apocalyptic number.

It is an amenable number.

42162912 is an abundant number, since it is smaller than the sum of its proper divisors (88647768).

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

42162912 is a wasteful number, since it uses less digits than its factorization.

42162912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13336 (or 13325 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 42162912 is about 6493.2974673890. The cubic root of 42162912 is about 348.0515183339.

The spelling of 42162912 in words is "forty-two million, one hundred sixty-two thousand, nine hundred twelve".