42012672 has 104 divisors (see below), whose sum is σ = 121095744. Its totient is φ = 12877824.

The previous prime is 42012671. The next prime is 42012683. The reversal of 42012672 is 27621024.

It is a tau number, because it is divible by the number of its divisors (104).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42012671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159613 + ... + 159875.

Almost surely, 2^42012672 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 42012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60547872).

42012672 is an abundant number, since it is smaller than the sum of its proper divisors (79083072).

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

42012672 is a wasteful number, since it uses less digits than its factorization.

42012672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 281 counting only the distinct ones).

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

The square root of 42012672 is about 6481.7182907004. The cubic root of 42012672 is about 347.6376198699.

Adding to 42012672 its reverse (27621024), we get a palindrome (69633696).

The spelling of 42012672 in words is "forty-two million, twelve thousand, six hundred seventy-two".