42081732 has 288 divisors, whose sum is σ = 150958080. Its totient is φ = 9538560.

The previous prime is 42081719. The next prime is 42081773. The reversal of 42081732 is 23718024.

It is a junction number, because it is equal to n+sod(n) for n = 42081696 and 42081705.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 895333 + ... + 895379.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 2^42081732 is an apocalyptic number.

42081732 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 42081732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

42081732 is an abundant number, since it is smaller than the sum of its proper divisors (108876348).

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

42081732 is a wasteful number, since it uses less digits than its factorization.

42081732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42081732 is about 6487.0433943361. The cubic root of 42081732 is about 347.8279966480.

Adding to 42081732 its reverse (23718024), we get a palindrome (65799756).

The spelling of 42081732 in words is "forty-two million, eighty-one thousand, seven hundred thirty-two".