372330 has 64 divisors (see below), whose sum is σ = 1140480. Its totient is φ = 84672.

The previous prime is 372313. The next prime is 372353. The reversal of 372330 is 33273.

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

It is a Curzon number.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 372330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1792 + ... + 1988.

It is an arithmetic number, because the mean of its divisors is an integer number (17820).

2³⁷²³³⁰ is an apocalyptic number.

372330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 372330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570240).

372330 is an abundant number, since it is smaller than the sum of its proper divisors (768150).

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

372330 is a wasteful number, since it uses less digits than its factorization.

372330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 18.

The square root of 372330 is about 610.1884954668. The cubic root of 372330 is about 71.9409237632.

It can be divided in two parts, 372 and 330, that multiplied together give a triangular number (122760 = T₄₉₅).

The spelling of 372330 in words is "three hundred seventy-two thousand, three hundred thirty".