364752 has 60 divisors (see below), whose sum is σ = 1088100. Its totient is φ = 113664.

The previous prime is 364751. The next prime is 364753. The reversal of 364752 is 257463.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (364751) and next prime (364753).

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 207936 = 396^2 + 456^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (5040) is a multiple of the sum of its prime factors (180).

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 364752.

It is not an unprimeable number, because it can be changed into a prime (364751) by changing a digit.

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 in 11 ways as a sum of consecutive naturals, for example, 2374 + ... + 2522.

It is an arithmetic number, because the mean of its divisors is an integer number (18135).

2³⁶⁴⁷⁵² 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 364752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544050).

364752 is an abundant number, since it is smaller than the sum of its proper divisors (723348).

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

364752 is a wasteful number, since it uses less digits than its factorization.

364752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 364752 is about 603.9470175438. The cubic root of 364752 is about 71.4495054832.

The spelling of 364752 in words is "three hundred sixty-four thousand, seven hundred fifty-two".