375120 has 60 divisors (see below), whose sum is σ = 1262196. Its totient is φ = 99840.

The previous prime is 375119. The next prime is 375121. The reversal of 375120 is 21573.

It is an interprime number because it is at equal distance from previous prime (375119) and next prime (375121).

It can be written as a sum of positive squares in 2 ways, for example, as 121104 + 254016 = 348^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 375093 and 375102.

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 375120.

It is not an unprimeable number, because it can be changed into a prime (375121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 460 + ... + 980.

2³⁷⁵¹²⁰ is an apocalyptic number.

375120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631098).

375120 is an abundant number, since it is smaller than the sum of its proper divisors (887076).

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

375120 is a wasteful number, since it uses less digits than its factorization.

375120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 375120 is about 612.4704074484. The cubic root of 375120 is about 72.1201696927.

Adding to 375120 its reverse (21573), we get a palindrome (396693).

The spelling of 375120 in words is "three hundred seventy-five thousand, one hundred twenty".