370752 has 28 divisors (see below), whose sum is σ = 981456. Its totient is φ = 123520.

The previous prime is 370723. The next prime is 370759. The reversal of 370752 is 257073.

370752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 370752.

It is not an unprimeable number, because it can be changed into a prime (370759) by changing a digit.

370752 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 3 ways as a sum of consecutive naturals, for example, 774 + ... + 1157.

It is an arithmetic number, because the mean of its divisors is an integer number (35052).

2³⁷⁰⁷⁵² is an apocalyptic number.

370752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

370752 is an abundant number, since it is smaller than the sum of its proper divisors (610704).

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

370752 is a wasteful number, since it uses less digits than its factorization.

370752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 370752 is about 608.8940794588. The cubic root of 370752 is about 71.8391470841.

The spelling of 370752 in words is "three hundred seventy thousand, seven hundred fifty-two".