39552 has 32 divisors (see below), whose sum is σ = 106080. Its totient is φ = 13056.

The previous prime is 39551. The next prime is 39563. The reversal of 39552 is 25593.

39552 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (32).

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 (39551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 333 + ... + 435.

It is an arithmetic number, because the mean of its divisors is an integer number (3315).

2³⁹⁵⁵² is an apocalyptic number.

39552 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 39552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53040).

39552 is an abundant number, since it is smaller than the sum of its proper divisors (66528).

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

39552 is a wasteful number, since it uses less digits than its factorization.

39552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 39552 is about 198.8768463145. The cubic root of 39552 is about 34.0713610760.

It can be divided in two parts, 39 and 552, that multiplied together give a triangular number (21528 = T₂₀₇).

The spelling of 39552 in words is "thirty-nine thousand, five hundred fifty-two".