372352 has 16 divisors (see below), whose sum is σ = 742050. Its totient is φ = 186112.

The previous prime is 372313. The next prime is 372353. The reversal of 372352 is 253273.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 118336 = 504^2 + 344^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 3¹¹ + 7⁴ + 3¹¹ + 2⁴ + 5⁶ + 2⁴ .

It is not an unprimeable number, because it can be changed into a prime (372353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1327 + ... + 1582.

2³⁷²³⁵² is an apocalyptic number.

372352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

372352 is a deficient number, since it is larger than the sum of its proper divisors (369698).

372352 is an equidigital number, since it uses as much as digits as its factorization.

372352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2911 counting only the distinct ones).

The product of its digits is 1260, while the sum is 22.

The square root of 372352 is about 610.2065224168. The cubic root of 372352 is about 71.9423406686.

The spelling of 372352 in words is "three hundred seventy-two thousand, three hundred fifty-two".