42702768 has 40 divisors (see below), whose sum is σ = 122574000. Its totient is φ = 14234112.

The previous prime is 42702767. The next prime is 42702769. The reversal of 42702768 is 86720724.

42702768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42702767) and next prime (42702769).

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

It is not an unprimeable number, because it can be changed into a prime (42702767) 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 7 ways as a sum of consecutive naturals, for example, 48993 + ... + 49856.

It is an arithmetic number, because the mean of its divisors is an integer number (3064350).

Almost surely, 2^42702768 is an apocalyptic number.

42702768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42702768 is an abundant number, since it is smaller than the sum of its proper divisors (79871232).

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

42702768 is a wasteful number, since it uses less digits than its factorization.

42702768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98866 (or 98854 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 42702768 is about 6534.7354957948. The cubic root of 42702768 is about 349.5307125472.

The spelling of 42702768 in words is "forty-two million, seven hundred two thousand, seven hundred sixty-eight".