42276 has 24 divisors (see below), whose sum is σ = 106624. Its totient is φ = 12960.

The previous prime is 42257. The next prime is 42281. The reversal of 42276 is 67224.

It is a happy number.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 8 and base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42276.

It is an unprimeable number.

42276 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21 + ... + 291.

2⁴²²⁷⁶ 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 42276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53312).

42276 is an abundant number, since it is smaller than the sum of its proper divisors (64348).

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

42276 is a wasteful number, since it uses less digits than its factorization.

42276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

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

The square root of 42276 is about 205.6112837371. The cubic root of 42276 is about 34.8362418049.

The spelling of 42276 in words is "forty-two thousand, two hundred seventy-six".