375672 has 32 divisors (see below), whose sum is σ = 1025280. Its totient is φ = 113760.

The previous prime is 375667. The next prime is 375673. The reversal of 375672 is 276573.

It is a super-2 number, since 2×375672² = 282258903168, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁵ + 7² + 6⁷ + 5⁷ + 7⁵ + 2⁹ .

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 375672.

It is not an unprimeable number, because it can be changed into a prime (375673) by changing a digit.

375672 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 7 ways as a sum of consecutive naturals, for example, 448 + ... + 975.

It is an arithmetic number, because the mean of its divisors is an integer number (32040).

2³⁷⁵⁶⁷² is an apocalyptic number.

It is an amenable number.

375672 is an abundant number, since it is smaller than the sum of its proper divisors (649608).

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

375672 is a wasteful number, since it uses less digits than its factorization.

375672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1439 counting only the distinct ones).

The product of its digits is 8820, while the sum is 30.

The square root of 375672 is about 612.9208758070. The cubic root of 375672 is about 72.1555279979.

Subtracting from 375672 its reverse (276573), we obtain a palindrome (99099).

It can be divided in two parts, 3756 and 72, that added together give a triangular number (3828 = T₈₇).

The spelling of 375672 in words is "three hundred seventy-five thousand, six hundred seventy-two".