42129252 has 72 divisors (see below), whose sum is σ = 116992512. Its totient is φ = 12676800.

The previous prime is 42129233. The next prime is 42129253. The reversal of 42129252 is 25292124.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42129253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75358 + ... + 75914.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^42129252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42129252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58496256).

42129252 is an abundant number, since it is smaller than the sum of its proper divisors (74863260).

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

42129252 is a wasteful number, since it uses less digits than its factorization.

42129252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 764 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 42129252 is about 6490.7050464491. The cubic root of 42129252 is about 347.9588734593.

The spelling of 42129252 in words is "forty-two million, one hundred twenty-nine thousand, two hundred fifty-two".