15072 has 24 divisors (see below), whose sum is σ = 39816. Its totient is φ = 4992.

The previous prime is 15061. The next prime is 15073. The reversal of 15072 is 27051.

It is a happy number.

15072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18 + ... + 174.

It is an arithmetic number, because the mean of its divisors is an integer number (1659).

2¹⁵⁰⁷² is an apocalyptic number.

15072 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 15072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19908).

15072 is an abundant number, since it is smaller than the sum of its proper divisors (24744).

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

15072 is a wasteful number, since it uses less digits than its factorization.

15072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 15072 is about 122.7680740258. The cubic root of 15072 is about 24.7015171693.

It can be divided in two parts, 150 and 72, that added together give a palindrome (222).

The spelling of 15072 in words is "fifteen thousand, seventy-two".