42272560 has 80 divisors (see below), whose sum is σ = 108376992. Its totient is φ = 15333120.

The previous prime is 42272513. The next prime is 42272563. The reversal of 42272560 is 6527224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42272563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106282 + ... + 106678.

Almost surely, 2^42272560 is an apocalyptic number.

42272560 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 42272560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54188496).

42272560 is an abundant number, since it is smaller than the sum of its proper divisors (66104432).

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

42272560 is a wasteful number, since it uses less digits than its factorization.

42272560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 42272560 is about 6501.7351530188. The cubic root of 42272560 is about 348.3529690378.

Adding to 42272560 its reverse (6527224), we get a palindrome (48799784).

The spelling of 42272560 in words is "forty-two million, two hundred seventy-two thousand, five hundred sixty".