42579972 has 24 divisors (see below), whose sum is σ = 110392800. Its totient is φ = 14193288.

The previous prime is 42579947. The next prime is 42579991. The reversal of 42579972 is 27997524.

42579972 is a `hidden beast` number, since 4 + 2 + 579 + 9 + 72 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197022 + ... + 197237.

It is an arithmetic number, because the mean of its divisors is an integer number (4599700).

Almost surely, 2^42579972 is an apocalyptic number.

It is an amenable number.

42579972 is an abundant number, since it is smaller than the sum of its proper divisors (67812828).

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

42579972 is a wasteful number, since it uses less digits than its factorization.

42579972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394272 (or 394264 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 42579972 is about 6525.3330949462. Note that the first 3 decimals coincide. The cubic root of 42579972 is about 349.1953542680.

The spelling of 42579972 in words is "forty-two million, five hundred seventy-nine thousand, nine hundred seventy-two".