42724512 has 72 divisors (see below), whose sum is σ = 122702580. Its totient is φ = 14100480.

The previous prime is 42724481. The next prime is 42724531. The reversal of 42724512 is 21542724.

It can be written as a sum of positive squares in 2 ways, for example, as 42458256 + 266256 = 6516^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30712 + ... + 32072.

Almost surely, 2^42724512 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 42724512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61351290).

42724512 is an abundant number, since it is smaller than the sum of its proper divisors (79978068).

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

42724512 is a wasteful number, since it uses less digits than its factorization.

42724512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1475 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 42724512 is about 6536.3990086285. The cubic root of 42724512 is about 349.5900288128.

The spelling of 42724512 in words is "forty-two million, seven hundred twenty-four thousand, five hundred twelve".