42576 has 20 divisors (see below), whose sum is σ = 110112. Its totient is φ = 14176.

The previous prime is 42571. The next prime is 42577. The reversal of 42576 is 67524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42571) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 396 + ... + 491.

2⁴²⁵⁷⁶ is an apocalyptic number.

42576 is the 131-st centered pentagonal number.

It is an amenable number.

42576 is an abundant number, since it is smaller than the sum of its proper divisors (67536).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55056).

42576 is a wasteful number, since it uses less digits than its factorization.

42576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 892 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 42576 is about 206.3395260245. The cubic root of 42576 is about 34.9184495899.

The spelling of 42576 in words is "forty-two thousand, five hundred seventy-six".