41642672 has 40 divisors (see below), whose sum is σ = 84756480. Its totient is φ = 19794240.

The previous prime is 41642651. The next prime is 41642693. The reversal of 41642672 is 27624614.

It is an interprime number because it is at equal distance from previous prime (41642651) and next prime (41642693).

It is a super-2 number, since 2×41642672² = 3468224262599168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28553 + ... + 29975.

It is an arithmetic number, because the mean of its divisors is an integer number (2118912).

Almost surely, 2^41642672 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 41642672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42378240).

41642672 is an abundant number, since it is smaller than the sum of its proper divisors (43113808).

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

41642672 is a wasteful number, since it uses less digits than its factorization.

41642672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1515 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 41642672 is about 6453.1133571324. The cubic root of 41642672 is about 346.6140765062.

The spelling of 41642672 in words is "forty-one million, six hundred forty-two thousand, six hundred seventy-two".