42633072 has 60 divisors (see below), whose sum is σ = 120174600. Its totient is φ = 14108544.

The previous prime is 42633067. The next prime is 42633077. The reversal of 42633072 is 27033624.

It is an interprime number because it is at equal distance from previous prime (42633067) and next prime (42633077).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42633077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20463 + ... + 22449.

It is an arithmetic number, because the mean of its divisors is an integer number (2002910).

Almost surely, 2^42633072 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 42633072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60087300).

42633072 is an abundant number, since it is smaller than the sum of its proper divisors (77541528).

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

42633072 is a wasteful number, since it uses less digits than its factorization.

42633072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 42633072 is about 6529.4005850461. The cubic root of 42633072 is about 349.3404504244.

Adding to 42633072 its reverse (27033624), we get a palindrome (69666696).

The spelling of 42633072 in words is "forty-two million, six hundred thirty-three thousand, seventy-two".