41627952 has 80 divisors (see below), whose sum is σ = 120394080. Its totient is φ = 13771008.

The previous prime is 41627909. The next prime is 41627959. The reversal of 41627952 is 25972614.

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

It is not an unprimeable number, because it can be changed into a prime (41627959) 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, 74458 + ... + 75014.

It is an arithmetic number, because the mean of its divisors is an integer number (1504926).

Almost surely, 2^41627952 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 41627952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60197040).

41627952 is an abundant number, since it is smaller than the sum of its proper divisors (78766128).

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

41627952 is a wasteful number, since it uses less digits than its factorization.

41627952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 735 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 41627952 is about 6451.9727215790. The cubic root of 41627952 is about 346.5732309004.

The spelling of 41627952 in words is "forty-one million, six hundred twenty-seven thousand, nine hundred fifty-two".