41273568 has 144 divisors (see below), whose sum is σ = 136805760. Its totient is φ = 11559168.

The previous prime is 41273563. The next prime is 41273581. The reversal of 41273568 is 86537214.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41273563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118771 + ... + 119117.

It is an arithmetic number, because the mean of its divisors is an integer number (950040).

Almost surely, 2^41273568 is an apocalyptic number.

41273568 is a gapful number since it is divisible by the number (48) 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 41273568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68402880).

41273568 is an abundant number, since it is smaller than the sum of its proper divisors (95532192).

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

41273568 is a wasteful number, since it uses less digits than its factorization.

41273568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 418 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 41273568 is about 6424.4507936477. The cubic root of 41273568 is about 345.5869529540.

The spelling of 41273568 in words is "forty-one million, two hundred seventy-three thousand, five hundred sixty-eight".