372384 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 123840.

The previous prime is 372377. The next prime is 372397. The reversal of 372384 is 483273.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is an unprimeable number.

372384 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, 649 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2³⁷²³⁸⁴ 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 372384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

372384 is an abundant number, since it is smaller than the sum of its proper divisors (716256).

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

372384 is a wasteful number, since it uses less digits than its factorization.

372384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 436 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 372384 is about 610.2327424844. The cubic root of 372384 is about 71.9444015223.

Subtracting 372384 from its reverse (483273), we obtain a square (110889 = 333²).

The spelling of 372384 in words is "three hundred seventy-two thousand, three hundred eighty-four".