42552 has 32 divisors (see below), whose sum is σ = 118800. Its totient is φ = 14112.

The previous prime is 42533. The next prime is 42557. The reversal of 42552 is 25524.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118 + ... + 314.

2⁴²⁵⁵² 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 42552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59400).

42552 is an abundant number, since it is smaller than the sum of its proper divisors (76248).

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

42552 is a wasteful number, since it uses less digits than its factorization.

42552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its digits is 400, while the sum is 18.

The square root of 42552 is about 206.2813612521. The cubic root of 42552 is about 34.9118872050.

It can be divided in two parts, 4 and 2552, that added together give a triangular number (2556 = T₇₁).

The spelling of 42552 in words is "forty-two thousand, five hundred fifty-two".