42131712 has 144 divisors (see below), whose sum is σ = 135983232. Its totient is φ = 11304960.

The previous prime is 42131681. The next prime is 42131717. The reversal of 42131712 is 21713124.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42131717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91162 + ... + 91622.

It is an arithmetic number, because the mean of its divisors is an integer number (944328).

Almost surely, 2^42131712 is an apocalyptic number.

42131712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67991616).

42131712 is an abundant number, since it is smaller than the sum of its proper divisors (93851520).

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

42131712 is a wasteful number, since it uses less digits than its factorization.

42131712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 490 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 42131712 is about 6490.8945454382. The cubic root of 42131712 is about 347.9656459680.

Adding to 42131712 its reverse (21713124), we get a palindrome (63844836).

It can be divided in two parts, 42 and 131712, that multiplied together give a square (5531904 = 2352²).

The spelling of 42131712 in words is "forty-two million, one hundred thirty-one thousand, seven hundred twelve".