42067872 has 216 divisors, whose sum is σ = 152373312. Its totient is φ = 10886400.

The previous prime is 42067847. The next prime is 42067873. The reversal of 42067872 is 27876024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42067873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155097 + ... + 155367.

It is an arithmetic number, because the mean of its divisors is an integer number (705432).

Almost surely, 2^42067872 is an apocalyptic number.

42067872 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 42067872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76186656).

42067872 is an abundant number, since it is smaller than the sum of its proper divisors (110305440).

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

42067872 is a wasteful number, since it uses less digits than its factorization.

42067872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 42067872 is about 6485.9750230786. The cubic root of 42067872 is about 347.7898056867.

The spelling of 42067872 in words is "forty-two million, sixty-seven thousand, eight hundred seventy-two".