362572 has 24 divisors (see below), whose sum is σ = 758016. Its totient is φ = 148368.

The previous prime is 362569. The next prime is 362581. The reversal of 362572 is 275263.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 363 + ... + 925.

It is an arithmetic number, because the mean of its divisors is an integer number (31584).

2³⁶²⁵⁷² 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 362572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379008).

362572 is an abundant number, since it is smaller than the sum of its proper divisors (395444).

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

362572 is a wasteful number, since it uses less digits than its factorization.

362572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 595 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 362572 is about 602.1395187164. The cubic root of 362572 is about 71.3068777392.

The spelling of 362572 in words is "three hundred sixty-two thousand, five hundred seventy-two".