72252 has 30 divisors (see below), whose sum is σ = 189728. Its totient is φ = 23976.

The previous prime is 72251. The next prime is 72253. The reversal of 72252 is 25227.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72251) and next prime (72253).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72251) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 213 + ... + 435.

2⁷²²⁵² 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 72252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94864).

72252 is an abundant number, since it is smaller than the sum of its proper divisors (117476).

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

72252 is a wasteful number, since it uses less digits than its factorization.

72252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 72252 is about 268.7973214152. The cubic root of 72252 is about 41.6501552356.

Adding to 72252 its reverse (25227), we get a palindrome (97479).

It can be divided in two parts, 7225 and 2, that added together give a palindrome (7227).

The spelling of 72252 in words is "seventy-two thousand, two hundred fifty-two".