42067032 has 64 divisors (see below), whose sum is σ = 120806400. Its totient is φ = 11957760.

The previous prime is 42067019. The next prime is 42067037. The reversal of 42067032 is 23076024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42066993 and 42067011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42067037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39969 + ... + 41007.

It is an arithmetic number, because the mean of its divisors is an integer number (1887600).

Almost surely, 2^42067032 is an apocalyptic number.

42067032 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 42067032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60403200).

42067032 is an abundant number, since it is smaller than the sum of its proper divisors (78739368).

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

42067032 is a wasteful number, since it uses less digits than its factorization.

42067032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 42067032 is about 6485.9102676494. The cubic root of 42067032 is about 347.7874908134.

The spelling of 42067032 in words is "forty-two million, sixty-seven thousand, thirty-two".