41272560 has 240 divisors, whose sum is σ = 167132160. Its totient is φ = 8916480.

The previous prime is 41272559. The next prime is 41272573. The reversal of 41272560 is 6527214.

41272560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95545 + ... + 95975.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 2^41272560 is an apocalyptic number.

41272560 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 41272560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

41272560 is an abundant number, since it is smaller than the sum of its proper divisors (125859600).

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

41272560 is a wasteful number, since it uses less digits than its factorization.

41272560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 41272560 is about 6424.3723428830. The cubic root of 41272560 is about 345.5841395756.

Adding to 41272560 its reverse (6527214), we get a palindrome (47799774).

The spelling of 41272560 in words is "forty-one million, two hundred seventy-two thousand, five hundred sixty".