42537168 has 60 divisors (see below), whose sum is σ = 120513120. Its totient is φ = 14004288.

The previous prime is 42537149. The next prime is 42537169. The reversal of 42537168 is 86173524.

It is a super-2 number, since 2×42537168² = 3618821322920448, which contains 22 as substring.

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 (42537169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10173 + ... + 13731.

It is an arithmetic number, because the mean of its divisors is an integer number (2008552).

Almost surely, 2^42537168 is an apocalyptic number.

42537168 is a gapful number since it is divisible by the number (48) 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 42537168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60256560).

42537168 is an abundant number, since it is smaller than the sum of its proper divisors (77975952).

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

42537168 is a wasteful number, since it uses less digits than its factorization.

42537168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3647 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 42537168 is about 6522.0524376917. The cubic root of 42537168 is about 349.0783041732.

The spelling of 42537168 in words is "forty-two million, five hundred thirty-seven thousand, one hundred sixty-eight".