41463072 has 144 divisors (see below), whose sum is σ = 136648512. Its totient is φ = 11681280.

The previous prime is 41463067. The next prime is 41463091. The reversal of 41463072 is 27036414.

41463072 = T₄₉₃ + T₄₉₄ + ... + T₇₁₆.

41463072 = 18³ + 19³ + ... + 113³.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 264018 + ... + 264174.

It is an arithmetic number, because the mean of its divisors is an integer number (948948).

Almost surely, 2^41463072 is an apocalyptic number.

41463072 is a gapful number since it is divisible by the number (42) 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 41463072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68324256).

41463072 is an abundant number, since it is smaller than the sum of its proper divisors (95185440).

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

41463072 is a wasteful number, since it uses less digits than its factorization.

41463072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 41463072 is about 6439.1825568157. The cubic root of 41463072 is about 346.1150563486.

Adding to 41463072 its reverse (27036414), we get a palindrome (68499486).

The spelling of 41463072 in words is "forty-one million, four hundred sixty-three thousand, seventy-two".