42167200 has 36 divisors (see below), whose sum is σ = 102942630. Its totient is φ = 16866560.

The previous prime is 42167159. The next prime is 42167201. The reversal of 42167200 is 276124.

It can be written as a sum of positive squares in 3 ways, for example, as 19395216 + 22771984 = 4404^2 + 4772^2 .

It is not an unprimeable number, because it can be changed into a prime (42167201) 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 5 ways as a sum of consecutive naturals, for example, 25555 + ... + 27154.

Almost surely, 2^42167200 is an apocalyptic number.

42167200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42167200 is an abundant number, since it is smaller than the sum of its proper divisors (60775430).

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

42167200 is a wasteful number, since it uses less digits than its factorization.

42167200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52729 (or 52716 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 42167200 is about 6493.6276456231. The cubic root of 42167200 is about 348.0633169681.

The spelling of 42167200 in words is "forty-two million, one hundred sixty-seven thousand, two hundred".