375296 has 20 divisors (see below), whose sum is σ = 750882. Its totient is φ = 187392.

The previous prime is 375283. The next prime is 375311. The reversal of 375296 is 692573.

375296 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 only one way, i.e., 215296 + 160000 = 464^2 + 400^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 3⁸ + 7⁴ + 2¹³ + 5⁷ + 9² + 6⁷ .

It is a plaindrome in base 14.

It is an unprimeable number.

375296 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 146 + ... + 878.

2³⁷⁵²⁹⁶ 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 375296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375441).

375296 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

375296 is an frugal number, since it uses more digits than its factorization.

375296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 735 counting only the distinct ones).

The product of its digits is 11340, while the sum is 32.

The square root of 375296 is about 612.6140710105. The cubic root of 375296 is about 72.1314471197.

The spelling of 375296 in words is "three hundred seventy-five thousand, two hundred ninety-six".