376752 has 40 divisors (see below), whose sum is σ = 999936. Its totient is φ = 122176.

The previous prime is 376729. The next prime is 376757. The reversal of 376752 is 257673.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 376752.

It is not an unprimeable number, because it can be changed into a prime (376757) by changing a digit.

376752 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, 2173 + ... + 2339.

2³⁷⁶⁷⁵² 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 376752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968).

376752 is an abundant number, since it is smaller than the sum of its proper divisors (623184).

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

376752 is a wasteful number, since it uses less digits than its factorization.

376752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

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

The square root of 376752 is about 613.8012707709. The cubic root of 376752 is about 72.2246072410.

It can be divided in two parts, 376 and 752, that added together give a triangular number (1128 = T₄₇).

The spelling of 376752 in words is "three hundred seventy-six thousand, seven hundred fifty-two".