42067200 has 216 divisors, whose sum is σ = 159170368. Its totient is φ = 9584640.

The previous prime is 42067169. The next prime is 42067237. The reversal of 42067200 is 276024.

It is a happy number.

It is a super-3 number, since 3×42067200³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134244 + ... + 134556.

Almost surely, 2^42067200 is an apocalyptic number.

42067200 is a gapful number since it is divisible by the number (40) 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 42067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79585184).

42067200 is an abundant number, since it is smaller than the sum of its proper divisors (117103168).

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

42067200 is a wasteful number, since it uses less digits than its factorization.

42067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 42067200 is about 6485.9232187870. The cubic root of 42067200 is about 347.7879537905.

The spelling of 42067200 in words is "forty-two million, sixty-seven thousand, two hundred".