42579072 has 96 divisors (see below), whose sum is σ = 127932480. Its totient is φ = 13567488.

The previous prime is 42579041. The next prime is 42579077. The reversal of 42579072 is 27097524.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42579077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25693 + ... + 27299.

It is an arithmetic number, because the mean of its divisors is an integer number (1332630).

Almost surely, 2^42579072 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 42579072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63966240).

42579072 is an abundant number, since it is smaller than the sum of its proper divisors (85353408).

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

42579072 is a wasteful number, since it uses less digits than its factorization.

42579072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 42579072 is about 6525.2641325850. The cubic root of 42579072 is about 349.1928939717.

It can be divided in two parts, 425 and 79072, that added together give a palindrome (79497).

The spelling of 42579072 in words is "forty-two million, five hundred seventy-nine thousand, seventy-two".