15872 has 20 divisors (see below), whose sum is σ = 32736. Its totient is φ = 7680.

The previous prime is 15859. The next prime is 15877. The reversal of 15872 is 27851.

15872 is an admirable number.

It is a nialpdrome in base 2 and base 4.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15877) by changing a digit.

15872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 497 + ... + 527.

2¹⁵⁸⁷² 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 15872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16368).

15872 is an abundant number, since it is smaller than the sum of its proper divisors (16864).

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

15872 is an frugal number, since it uses more digits than its factorization.

15872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 33 counting only the distinct ones).

The product of its digits is 560, while the sum is 23.

The square root of 15872 is about 125.9841259842. The cubic root of 15872 is about 25.1310452191.

The spelling of 15872 in words is "fifteen thousand, eight hundred seventy-two".