41512720 has 80 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 15206400.

The previous prime is 41512687. The next prime is 41512729. The reversal of 41512720 is 2721514.

It is a happy number.

41512720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 41512691 and 41512700.

It is not an unprimeable number, because it can be changed into a prime (41512729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46680 + ... + 47560.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2^41512720 is an apocalyptic number.

41512720 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 41512720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

41512720 is an abundant number, since it is smaller than the sum of its proper divisors (63480560).

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

41512720 is a wasteful number, since it uses less digits than its factorization.

41512720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 41512720 is about 6443.0365511923. The cubic root of 41512720 is about 346.2531476296.

The spelling of 41512720 in words is "forty-one million, five hundred twelve thousand, seven hundred twenty".