42348672 has 48 divisors (see below), whose sum is σ = 121866030. Its totient is φ = 14115840.

The previous prime is 42348659. The next prime is 42348703. The reversal of 42348672 is 27684324.

It can be written as a sum of positive squares in only one way, i.e., 42302016 + 46656 = 6504^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 17229 + ... + 19532.

Almost surely, 2^42348672 is an apocalyptic number.

It is an amenable number.

42348672 is an abundant number, since it is smaller than the sum of its proper divisors (79517358).

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

42348672 is a wasteful number, since it uses less digits than its factorization.

42348672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36781 (or 36766 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 42348672 is about 6507.5857274415. The cubic root of 42348672 is about 348.5619142282.

The spelling of 42348672 in words is "forty-two million, three hundred forty-eight thousand, six hundred seventy-two".