41638272 has 128 divisors (see below), whose sum is σ = 125664000. Its totient is φ = 12109824.

The previous prime is 41638271. The next prime is 41638297. The reversal of 41638272 is 27283614.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41638271) 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, 94629 + ... + 95067.

It is an arithmetic number, because the mean of its divisors is an integer number (981750).

Almost surely, 2^41638272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41638272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62832000).

41638272 is an abundant number, since it is smaller than the sum of its proper divisors (84025728).

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

41638272 is a wasteful number, since it uses less digits than its factorization.

41638272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 476 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 41638272 is about 6452.7724274144. The cubic root of 41638272 is about 346.6018682306.

The spelling of 41638272 in words is "forty-one million, six hundred thirty-eight thousand, two hundred seventy-two".