42319872 has 180 divisors, whose sum is σ = 143126256. Its totient is φ = 11796480.

The previous prime is 42319843. The next prime is 42319873. The reversal of 42319872 is 27891324.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42319873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1032172 + ... + 1032212.

Almost surely, 2^42319872 is an apocalyptic number.

42319872 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 42319872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71563128).

42319872 is an abundant number, since it is smaller than the sum of its proper divisors (100806384).

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

42319872 is an equidigital number, since it uses as much as digits as its factorization.

42319872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 42319872 is about 6505.3725489014. The cubic root of 42319872 is about 348.4828809775.

The spelling of 42319872 in words is "forty-two million, three hundred nineteen thousand, eight hundred seventy-two".