372288 has 56 divisors (see below), whose sum is σ = 1129792. Its totient is φ = 105984.

The previous prime is 372277. The next prime is 372289. The reversal of 372288 is 882273.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (372289) by changing a digit.

372288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1206 + ... + 1482.

2³⁷²²⁸⁸ 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 372288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564896).

372288 is an abundant number, since it is smaller than the sum of its proper divisors (757504).

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

372288 is a wasteful number, since it uses less digits than its factorization.

372288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 372288 is about 610.1540789014. The cubic root of 372288 is about 71.9382186070.

The spelling of 372288 in words is "three hundred seventy-two thousand, two hundred eighty-eight".