41072720 has 80 divisors (see below), whose sum is σ = 104441232. Its totient is φ = 14929920.

The previous prime is 41072711. The next prime is 41072723. The reversal of 41072720 is 2727014.

It can be written as a sum of positive squares in 8 ways, for example, as 3225616 + 37847104 = 1796^2 + 6152^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×41072720³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41072723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75650 + ... + 76190.

Almost surely, 2^41072720 is an apocalyptic number.

41072720 is a gapful number since it is divisible by the number (40) 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 41072720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52220616).

41072720 is an abundant number, since it is smaller than the sum of its proper divisors (63368512).

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

41072720 is a wasteful number, since it uses less digits than its factorization.

41072720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 41072720 is about 6408.8001997254. The cubic root of 41072720 is about 345.0254689592.

Adding to 41072720 its reverse (2727014), we get a palindrome (43799734).

The spelling of 41072720 in words is "forty-one million, seventy-two thousand, seven hundred twenty".