7362 has 12 divisors (see below), whose sum is σ = 15990. Its totient is φ = 2448.

The previous prime is 7351. The next prime is 7369. The reversal of 7362 is 2637.

It can be written as a sum of positive squares in only one way, i.e., 4761 + 2601 = 69^2 + 51^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 409 = 7362 / (7 + 3 + 6 + 2).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (7369) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 187 + ... + 222.

2⁷³⁶² is an apocalyptic number.

7362 is an abundant number, since it is smaller than the sum of its proper divisors (8628).

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

7362 is a wasteful number, since it uses less digits than its factorization.

7362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 414 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 7362 is about 85.8020978765. The cubic root of 7362 is about 19.4535383011.

Adding to 7362 its reverse (2637), we get a palindrome (9999).

The spelling of 7362 in words is "seven thousand, three hundred sixty-two".