42719920 has 20 divisors (see below), whose sum is σ = 99324000. Its totient is φ = 17087936.

The previous prime is 42719917. The next prime is 42719959. The reversal of 42719920 is 2991724.

It is a happy number.

42719920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 266920 + ... + 267079.

It is an arithmetic number, because the mean of its divisors is an integer number (4966200).

Almost surely, 2^42719920 is an apocalyptic number.

42719920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42719920 is an abundant number, since it is smaller than the sum of its proper divisors (56604080).

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

42719920 is a wasteful number, since it uses less digits than its factorization.

42719920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534012 (or 534006 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 42719920 is about 6536.0477354438. The cubic root of 42719920 is about 349.5775038020.

The spelling of 42719920 in words is "forty-two million, seven hundred nineteen thousand, nine hundred twenty".