372128 has 24 divisors (see below), whose sum is σ = 759780. Its totient is φ = 179200.

The previous prime is 372121. The next prime is 372131. The reversal of 372128 is 821273.

372128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 327184 + 44944 = 572^2 + 212^2 .

It is an Ulam number.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (372121) by changing a digit.

372128 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 3 ways as a sum of consecutive naturals, for example, 728 + ... + 1128.

2³⁷²¹²⁸ 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 372128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379890).

372128 is an abundant number, since it is smaller than the sum of its proper divisors (387652).

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

372128 is a wasteful number, since it uses less digits than its factorization.

372128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 432 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 372128 is about 610.0229503879. The cubic root of 372128 is about 71.9279113858.

The spelling of 372128 in words is "three hundred seventy-two thousand, one hundred twenty-eight".