41752320 has 144 divisors (see below), whose sum is σ = 135983232. Its totient is φ = 10915840.

The previous prime is 41752313. The next prime is 41752327. The reversal of 41752320 is 2325714.

It is an interprime number because it is at equal distance from previous prime (41752313) and next prime (41752327).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41752327) 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, 318655 + ... + 318785.

It is an arithmetic number, because the mean of its divisors is an integer number (944328).

Almost surely, 2^41752320 is an apocalyptic number.

41752320 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 41752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67991616).

41752320 is an abundant number, since it is smaller than the sum of its proper divisors (94230912).

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

41752320 is a wasteful number, since it uses less digits than its factorization.

41752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 41752320 is about 6461.6035161560. The cubic root of 41752320 is about 346.9180293995.

The spelling of 41752320 in words is "forty-one million, seven hundred fifty-two thousand, three hundred twenty".