41607072 has 72 divisors (see below), whose sum is σ = 127433124. Its totient is φ = 12801024.

The previous prime is 41607061. The next prime is 41607073. The reversal of 41607072 is 27070614.

It can be written as a sum of positive squares in 2 ways, for example, as 30074256 + 11532816 = 5484^2 + 3396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×41607072² = 3462296880826368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (41607073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1813 + ... + 9300.

Almost surely, 2^41607072 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 41607072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63716562).

41607072 is an abundant number, since it is smaller than the sum of its proper divisors (85826052).

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

41607072 is a wasteful number, since it uses less digits than its factorization.

41607072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11142 (or 11131 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 41607072 is about 6450.3544088678. The cubic root of 41607072 is about 346.5152757769.

Adding to 41607072 its reverse (27070614), we get a palindrome (68677686).

The spelling of 41607072 in words is "forty-one million, six hundred seven thousand, seventy-two".