42653072 has 80 divisors (see below), whose sum is σ = 104457600. Its totient is φ = 16389120.

The previous prime is 42653069. The next prime is 42653087. The reversal of 42653072 is 27035624.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 109454 + ... + 109842.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 2^42653072 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 42653072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52228800).

42653072 is an abundant number, since it is smaller than the sum of its proper divisors (61804528).

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

42653072 is a wasteful number, since it uses less digits than its factorization.

42653072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 42653072 is about 6530.9319396239. The cubic root of 42653072 is about 349.3950693421.

Adding to 42653072 its reverse (27035624), we get a palindrome (69688696).

It can be divided in two parts, 4265 and 3072, that added together give a palindrome (7337).

The spelling of 42653072 in words is "forty-two million, six hundred fifty-three thousand, seventy-two".