32041152 has 168 divisors, whose sum is σ = 108173520. Its totient is φ = 8939520.

The previous prime is 32041151. The next prime is 32041153. The reversal of 32041152 is 25114023.

It is an interprime number because it is at equal distance from previous prime (32041151) and next prime (32041153).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32041151) 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 23 ways as a sum of consecutive naturals, for example, 82174 + ... + 82562.

It is an arithmetic number, because the mean of its divisors is an integer number (643890).

Almost surely, 2^32041152 is an apocalyptic number.

32041152 is a gapful number since it is divisible by the number (32) 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 32041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54086760).

32041152 is an abundant number, since it is smaller than the sum of its proper divisors (76132368).

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

32041152 is a wasteful number, since it uses less digits than its factorization.

32041152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 32041152 is about 5660.4904381158. The cubic root of 32041152 is about 317.6162452802.

Adding to 32041152 its reverse (25114023), we get a palindrome (57155175).

It can be divided in two parts, 3204 and 1152, that added together give a square (4356 = 66²).

The spelling of 32041152 in words is "thirty-two million, forty-one thousand, one hundred fifty-two".