41532072 has 64 divisors (see below), whose sum is σ = 107153280. Its totient is φ = 13408512.

The previous prime is 41532059. The next prime is 41532077. The reversal of 41532072 is 27023514.

It is a super-3 number, since 3×41532072³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (41532077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130858 + ... + 131174.

It is an arithmetic number, because the mean of its divisors is an integer number (1674270).

Almost surely, 2^41532072 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 41532072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53576640).

41532072 is an abundant number, since it is smaller than the sum of its proper divisors (65621208).

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

41532072 is a wasteful number, since it uses less digits than its factorization.

41532072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 478 counting only the distinct ones).

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

The square root of 41532072 is about 6444.5381525754. The cubic root of 41532072 is about 346.3069435903.

Adding to 41532072 its reverse (27023514), we get a palindrome (68555586).

The spelling of 41532072 in words is "forty-one million, five hundred thirty-two thousand, seventy-two".