375732 has 72 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 105840.

The previous prime is 375709. The next prime is 375743. The reversal of 375732 is 237573.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4410) is a multiple of the sum of its prime factors (98).

It is a junction number, because it is equal to n+sod(n) for n = 375696 and 375705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5257 + ... + 5327.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2³⁷⁵⁷³² 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 375732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

375732 is an abundant number, since it is smaller than the sum of its proper divisors (773388).

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

375732 is a wasteful number, since it uses less digits than its factorization.

375732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its digits is 4410, while the sum is 27.

The square root of 375732 is about 612.9698198117. The cubic root of 375732 is about 72.1593692044.

The spelling of 375732 in words is "three hundred seventy-five thousand, seven hundred thirty-two".