364672 has 64 divisors (see below), whose sum is σ = 930240. Its totient is φ = 138240.

The previous prime is 364669. The next prime is 364687. The reversal of 364672 is 276463.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 364672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9838 + ... + 9874.

It is an arithmetic number, because the mean of its divisors is an integer number (14535).

2³⁶⁴⁶⁷² is an apocalyptic number.

364672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465120).

364672 is an abundant number, since it is smaller than the sum of its proper divisors (565568).

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

364672 is a wasteful number, since it uses less digits than its factorization.

364672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 57 counting only the distinct ones).

The product of its digits is 6048, while the sum is 28.

The square root of 364672 is about 603.8807829365. The cubic root of 364672 is about 71.4442814968. Note that the first 3 decimals are identical.

Subtracting from 364672 its reverse (276463), we obtain a square (88209 = 297²).

The spelling of 364672 in words is "three hundred sixty-four thousand, six hundred seventy-two".