372138 has 24 divisors (see below), whose sum is σ = 808128. Its totient is φ = 114192.

The previous prime is 372137. The next prime is 372149. The reversal of 372138 is 831273.

It is not an unprimeable number, because it can be changed into a prime (372131) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 831 + ... + 1197.

It is an arithmetic number, because the mean of its divisors is an integer number (33672).

2³⁷²¹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 372138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404064).

372138 is an abundant number, since it is smaller than the sum of its proper divisors (435990).

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

372138 is a wasteful number, since it uses less digits than its factorization.

372138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 385 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 372138 is about 610.0311467458. The cubic root of 372138 is about 71.9285556737.

The spelling of 372138 in words is "three hundred seventy-two thousand, one hundred thirty-eight".