15972 has 24 divisors (see below), whose sum is σ = 40992. Its totient is φ = 4840.

The previous prime is 15971. The next prime is 15973. The reversal of 15972 is 27951.

It is an interprime number because it is at equal distance from previous prime (15971) and next prime (15973).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (15971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1447 + ... + 1457.

It is an arithmetic number, because the mean of its divisors is an integer number (1708).

2¹⁵⁹⁷² is an apocalyptic number.

15972 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 15972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20496).

15972 is an abundant number, since it is smaller than the sum of its proper divisors (25020).

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

15972 is a wasteful number, since it uses less digits than its factorization.

15972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 16 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 15972 is about 126.3803782238. The cubic root of 15972 is about 25.1837133362.

It can be divided in two parts, 159 and 72, that added together give a triangular number (231 = T₂₁).

The spelling of 15972 in words is "fifteen thousand, nine hundred seventy-two".