42609072 has 160 divisors (see below), whose sum is σ = 131134464. Its totient is φ = 11776000.

The previous prime is 42609053. The next prime is 42609101. The reversal of 42609072 is 27090624.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421822 + ... + 421922.

Almost surely, 2^42609072 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 42609072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65567232).

42609072 is an abundant number, since it is smaller than the sum of its proper divisors (88525392).

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

42609072 is a wasteful number, since it uses less digits than its factorization.

42609072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 42609072 is about 6527.5624853386. The cubic root of 42609072 is about 349.2748851705.

Adding to 42609072 its reverse (27090624), we get a palindrome (69699696).

The spelling of 42609072 in words is "forty-two million, six hundred nine thousand, seventy-two".