42572560 has 40 divisors (see below), whose sum is σ = 99290520. Its totient is φ = 16975872.

The previous prime is 42572513. The next prime is 42572561. The reversal of 42572560 is 6527524.

It can be written as a sum of positive squares in 4 ways, for example, as 7573504 + 34999056 = 2752^2 + 5916^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42572561) 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, 34026 + ... + 35254.

It is an arithmetic number, because the mean of its divisors is an integer number (2482263).

Almost surely, 2^42572560 is an apocalyptic number.

42572560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42572560 is an abundant number, since it is smaller than the sum of its proper divisors (56717960).

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

42572560 is a wasteful number, since it uses less digits than its factorization.

42572560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 42572560 is about 6524.7651298725. The cubic root of 42572560 is about 349.1750913287.

The spelling of 42572560 in words is "forty-two million, five hundred seventy-two thousand, five hundred sixty".