7368 has 16 divisors (see below), whose sum is σ = 18480. Its totient is φ = 2448.

The previous prime is 7351. The next prime is 7369. The reversal of 7368 is 8637.

7368 = T₂₂ + T₂₃ + ... + T₃₇.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 307 = 7368 / (7 + 3 + 6 + 8).

It is an Ulam number.

It is a plaindrome in base 11 and base 13.

It is a nialpdrome in base 12.

It is a zygodrome in base 11.

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 3 ways as a sum of consecutive naturals, for example, 130 + ... + 177.

It is an arithmetic number, because the mean of its divisors is an integer number (1155).

2⁷³⁶⁸ is an apocalyptic number.

It is an amenable number.

7368 is an abundant number, since it is smaller than the sum of its proper divisors (11112).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9240).

7368 is a wasteful number, since it uses less digits than its factorization.

7368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 7368 is about 85.8370549355. The cubic root of 7368 is about 19.4588217175.

It can be divided in two parts, 73 and 68, that added together give a palindrome (141).

The spelling of 7368 in words is "seven thousand, three hundred sixty-eight".