362472 has 32 divisors (see below), whose sum is σ = 989280. Its totient is φ = 109760.

The previous prime is 362459. The next prime is 362473. The reversal of 362472 is 274263.

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

It is not an unprimeable number, because it can be changed into a prime (362473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 423 + ... + 950.

It is an arithmetic number, because the mean of its divisors is an integer number (30915).

2³⁶²⁴⁷² is an apocalyptic number.

It is an amenable number.

362472 is an abundant number, since it is smaller than the sum of its proper divisors (626808).

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

362472 is a wasteful number, since it uses less digits than its factorization.

362472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1389 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 362472 is about 602.0564757562. The cubic root of 362472 is about 71.3003214842.

Subtracting from 362472 its reverse (274263), we obtain a square (88209 = 297²).

The spelling of 362472 in words is "three hundred sixty-two thousand, four hundred seventy-two".