42975672 has 64 divisors (see below), whose sum is σ = 113356800. Its totient is φ = 13557120.

The previous prime is 42975671. The next prime is 42975689. The reversal of 42975672 is 27657924.

42975672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42975671) 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, 34354 + ... + 35582.

It is an arithmetic number, because the mean of its divisors is an integer number (1771200).

Almost surely, 2^42975672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42975672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56678400).

42975672 is an abundant number, since it is smaller than the sum of its proper divisors (70381128).

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

42975672 is a wasteful number, since it uses less digits than its factorization.

42975672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1312 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 42975672 is about 6555.5832692446. The cubic root of 42975672 is about 350.2737232893.

The spelling of 42975672 in words is "forty-two million, nine hundred seventy-five thousand, six hundred seventy-two".