215072 has 48 divisors (see below), whose sum is σ = 508032. Its totient is φ = 88320.

The previous prime is 215063. The next prime is 215077. The reversal of 215072 is 270512.

215072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 215072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215077) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 4553 + ... + 4599.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2²¹⁵⁰⁷² is an apocalyptic number.

215072 is a gapful number since it is divisible by the number (22) 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 215072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016).

215072 is an abundant number, since it is smaller than the sum of its proper divisors (292960).

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

215072 is a wasteful number, since it uses less digits than its factorization.

215072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 215072 is about 463.7585578725. The cubic root of 215072 is about 59.9139507251.

Adding to 215072 its reverse (270512), we get a palindrome (485584).

It can be divided in two parts, 2150 and 72, that added together give a palindrome (2222).

The spelling of 215072 in words is "two hundred fifteen thousand, seventy-two".