72352 has 48 divisors (see below), whose sum is σ = 181440. Its totient is φ = 27648.

The previous prime is 72341. The next prime is 72353. The reversal of 72352 is 25327.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (72353) 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, 3799 + ... + 3817.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁷²³⁵² 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 72352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

72352 is an abundant number, since it is smaller than the sum of its proper divisors (109088).

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

72352 is a wasteful number, since it uses less digits than its factorization.

72352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 45 counting only the distinct ones).

The product of its digits is 420, while the sum is 19.

The square root of 72352 is about 268.9832708553. The cubic root of 72352 is about 41.6693616035.

Adding to 72352 its reverse (25327), we get a palindrome (97679).

It can be divided in two parts, 72 and 352, that added together give a palindrome (424).

The spelling of 72352 in words is "seventy-two thousand, three hundred fifty-two".