15552 has 42 divisors (see below), whose sum is σ = 46228. Its totient is φ = 5184.

The previous prime is 15551. The next prime is 15559. The reversal of 15552 is 25551.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (3!)^{5} ⋅ 2!.

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

Its product of digits (250) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (15551) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5183 + 5184 + 5185.

15552 is a Friedman number, since it can be written as 2*(5+1^5)^5, using all its digits and the basic arithmetic operations.

2^{15552} is an apocalyptic number.

15552 is a gapful number since it is divisible by the number (12) 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 15552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23114).

15552 is an abundant number, since it is smaller than the sum of its proper divisors (30676).

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

15552 is an frugal number, since it uses more digits than its factorization.

15552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 5 counting only the distinct ones).

The product of its digits is 250, while the sum is 18.

The square root of 15552 is about 124.7076581450. The cubic root of 15552 is about 24.9610058766.

Multiplying 15552 by its sum of digits (18), we get a 7-th power (279936 = 6^{7}).

Subtracting 15552 from its reverse (25551), we obtain a palindrome (9999).

The spelling of 15552 in words is "fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552

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