42032000 has 128 divisors (see below), whose sum is σ = 108838080. Its totient is φ = 16128000.

The previous prime is 42031999. The next prime is 42032051. The reversal of 42032000 is 23024.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591965 + ... + 592035.

Almost surely, 2^42032000 is an apocalyptic number.

42032000 is a gapful number since it is divisible by the number (40) 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 42032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54419040).

42032000 is an abundant number, since it is smaller than the sum of its proper divisors (66806080).

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

42032000 is an equidigital number, since it uses as much as digits as its factorization.

42032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 42032000 is about 6483.2090819285. The cubic root of 42032000 is about 347.6909221196.

Adding to 42032000 its reverse (23024), we get a palindrome (42055024).

The spelling of 42032000 in words is "forty-two million, thirty-two thousand", and thus it is an eban number.