42185472 has 216 divisors, whose sum is σ = 139809600. Its totient is φ = 11225088.

The previous prime is 42185471. The next prime is 42185501. The reversal of 42185472 is 27458124.

It is a super-2 number, since 2×42185472² = 3559228095725568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42185471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714979 + ... + 715037.

Almost surely, 2^42185472 is an apocalyptic number.

42185472 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 42185472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69904800).

42185472 is an abundant number, since it is smaller than the sum of its proper divisors (97624128).

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

42185472 is a wasteful number, since it uses less digits than its factorization.

42185472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 42185472 is about 6495.0344109943. The cubic root of 42185472 is about 348.1135842733.

The spelling of 42185472 in words is "forty-two million, one hundred eighty-five thousand, four hundred seventy-two".