372 has 12 divisors (see below), whose sum is σ = 896. Its totient is φ = 120.

The previous prime is 367. The next prime is 373. The reversal of 372 is 273.

Adding to 372 its product of digits (42), we get a palindrome (414).

Subtracting from 372 its reverse (273), we obtain a palindrome (99).

It can be divided in two parts, 3 and 72, that multiplied together give a cube (216 = 6^{3}).

372 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 31 = 372 / (3 + 7 + 2).

It is a d-powerful number, because it can be written as **3**^{3} + **7**^{3} + **2** .

It is a plaindrome in base 13 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 372.

It is not an unprimeable number, because it can be changed into a prime (373) by changing a digit.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4 + ... + 27.

It is an amenable number.

372 is an abundant number, since it is smaller than the sum of its proper divisors (524).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448).

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

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

The sum of its prime factors is 38 (or 36 counting only the distinct ones).

The product of its digits is 42, while the sum is 12.

The square root of 372 is about 19.2873015220. The cubic root of 372 is about 7.1919663481.

The spelling of 372 in words is "three hundred seventy-two", and thus it is an aban number and an iban number.

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