42570720 has 288 divisors, whose sum is σ = 161336448. Its totient is φ = 10174464.

The previous prime is 42570709. The next prime is 42570743. The reversal of 42570720 is 2707524.

It is a tau number, because it is divible by the number of its divisors (288).

It is a zygodrome in base 3.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 905737 + ... + 905783.

It is an arithmetic number, because the mean of its divisors is an integer number (560196).

Almost surely, 2^42570720 is an apocalyptic number.

42570720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42570720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80668224).

42570720 is an abundant number, since it is smaller than the sum of its proper divisors (118765728).

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

42570720 is a wasteful number, since it uses less digits than its factorization.

42570720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 42570720 is about 6524.6241271049. The cubic root of 42570720 is about 349.1700607689.

The spelling of 42570720 in words is "forty-two million, five hundred seventy thousand, seven hundred twenty".