42768972 has 48 divisors (see below), whose sum is σ = 112274400. Its totient is φ = 14253408.

The previous prime is 42768967. The next prime is 42768977. The reversal of 42768972 is 27986724.

It is an interprime number because it is at equal distance from previous prime (42768967) and next prime (42768977).

It is not an unprimeable number, because it can be changed into a prime (42768977) 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 15 ways as a sum of consecutive naturals, for example, 6304 + ... + 11192.

It is an arithmetic number, because the mean of its divisors is an integer number (2339050).

Almost surely, 2^42768972 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 42768972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56137200).

42768972 is an abundant number, since it is smaller than the sum of its proper divisors (69505428).

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

42768972 is an equidigital number, since it uses as much as digits as its factorization.

42768972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 4894 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 42768972 is about 6539.7990794825. The cubic root of 42768972 is about 349.7112502826.

The spelling of 42768972 in words is "forty-two million, seven hundred sixty-eight thousand, nine hundred seventy-two".