15672 has 16 divisors (see below), whose sum is σ = 39240. Its totient is φ = 5216.

The previous prime is 15671. The next prime is 15679. The reversal of 15672 is 27651.

It is a super-3 number, since 3×15672³ = 11547674233344, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15672.

It is not an unprimeable number, because it can be changed into a prime (15671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 303 + ... + 350.

2¹⁵⁶⁷² is an apocalyptic number.

15672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15672 is an abundant number, since it is smaller than the sum of its proper divisors (23568).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19620).

15672 is a wasteful number, since it uses less digits than its factorization.

15672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 15672 is about 125.1878588362. The cubic root of 15672 is about 25.0250415751.

Subtracting from 15672 its sum of digits (21), we obtain a palindrome (15651).

The spelling of 15672 in words is "fifteen thousand, six hundred seventy-two".