42072612 has 96 divisors (see below), whose sum is σ = 110315520. Its totient is φ = 12418560.

The previous prime is 42072607. The next prime is 42072629. The reversal of 42072612 is 21627024.

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 31 ways as a sum of consecutive naturals, for example, 372268 + ... + 372380.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 2^42072612 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 42072612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

42072612 is an abundant number, since it is smaller than the sum of its proper divisors (68242908).

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

42072612 is a wasteful number, since it uses less digits than its factorization.

42072612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 42072612 is about 6486.3404165986. The cubic root of 42072612 is about 347.8028676085.

Adding to 42072612 its reverse (21627024), we get a palindrome (63699636).

The spelling of 42072612 in words is "forty-two million, seventy-two thousand, six hundred twelve".