364572 has 72 divisors (see below), whose sum is σ = 1070160. Its totient is φ = 103680.

The previous prime is 364571. The next prime is 364583. The reversal of 364572 is 275463.

It is a happy number.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364571) 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 23 ways as a sum of consecutive naturals, for example, 8872 + ... + 8912.

2³⁶⁴⁵⁷² 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 364572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535080).

364572 is an abundant number, since it is smaller than the sum of its proper divisors (705588).

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

364572 is a wasteful number, since it uses less digits than its factorization.

364572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 78 counting only the distinct ones).

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

The square root of 364572 is about 603.7979794600. The cubic root of 364572 is about 71.4377504394.

The spelling of 364572 in words is "three hundred sixty-four thousand, five hundred seventy-two".