67042032 has 120 divisors (see below), whose sum is σ = 188787024. Its totient is φ = 20487168.

The previous prime is 67042021. The next prime is 67042043. The reversal of 67042032 is 23024076.

It is an interprime number because it is at equal distance from previous prime (67042021) and next prime (67042043).

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 = 67041993 and 67042011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918348 + ... + 918420.

Almost surely, 2^67042032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94393512).

67042032 is an abundant number, since it is smaller than the sum of its proper divisors (121744992).

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

67042032 is a wasteful number, since it uses less digits than its factorization.

67042032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

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

The square root of 67042032 is about 8187.9198823633. The cubic root of 67042032 is about 406.2397251208.

The spelling of 67042032 in words is "sixty-seven million, forty-two thousand, thirty-two".