42724584 has 80 divisors (see below), whose sum is σ = 136778400. Its totient is φ = 12205728.

The previous prime is 42724579. The next prime is 42724601. The reversal of 42724584 is 48542724.

42724584 is a `hidden beast` number, since 4 + 2 + 72 + 4 + 584 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 174 + ... + 9245.

It is an arithmetic number, because the mean of its divisors is an integer number (1709730).

Almost surely, 2^42724584 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 42724584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68389200).

42724584 is an abundant number, since it is smaller than the sum of its proper divisors (94053816).

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

42724584 is a wasteful number, since it uses less digits than its factorization.

42724584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9444 (or 9431 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 42724584 is about 6536.4045162459. The cubic root of 42724584 is about 349.5902251909.

The spelling of 42724584 in words is "forty-two million, seven hundred twenty-four thousand, five hundred eighty-four".