42872144 has 40 divisors (see below), whose sum is σ = 95351040. Its totient is φ = 18292608.

The previous prime is 42872117. The next prime is 42872149. The reversal of 42872144 is 44127824.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42872144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42872149) 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 7 ways as a sum of consecutive naturals, for example, 29417 + ... + 30839.

It is an arithmetic number, because the mean of its divisors is an integer number (2383776).

Almost surely, 2^42872144 is an apocalyptic number.

It is an amenable number.

42872144 is an abundant number, since it is smaller than the sum of its proper divisors (52478896).

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

42872144 is a wasteful number, since it uses less digits than its factorization.

42872144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1701 counting only the distinct ones).

The product of its digits is 14336, while the sum is 32.

The square root of 42872144 is about 6547.6823380491. The cubic root of 42872144 is about 349.9922283989.

Adding to 42872144 its reverse (44127824), we get a palindrome (86999968).

It can be divided in two parts, 4287 and 2144, that multiplied together give a triangular number (9191328 = T₄₂₈₇).

The spelling of 42872144 in words is "forty-two million, eight hundred seventy-two thousand, one hundred forty-four".