42536032 has 96 divisors (see below), whose sum is σ = 106493184. Its totient is φ = 16243200.

The previous prime is 42535981. The next prime is 42536033. The reversal of 42536032 is 23063524.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42535988 and 42536006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42536033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150163 + ... + 150445.

It is an arithmetic number, because the mean of its divisors is an integer number (1109304).

Almost surely, 2^42536032 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 42536032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53246592).

42536032 is an abundant number, since it is smaller than the sum of its proper divisors (63957152).

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

42536032 is a wasteful number, since it uses less digits than its factorization.

42536032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 42536032 is about 6521.9653479607. The cubic root of 42536032 is about 349.0751966439.

Adding to 42536032 its reverse (23063524), we get a palindrome (65599556).

The spelling of 42536032 in words is "forty-two million, five hundred thirty-six thousand, thirty-two".