7350 has 36 divisors (see below), whose sum is σ = 21204.
Its totient is φ = 1680.
The previous prime is 7349. The next prime is 7351. The reversal of 7350 is 537.
Adding to 7350 its reverse (537), we get a palindrome (7887).
It is an interprime number because it is at equal distance from previous prime (7349) and next prime (7351).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (7351) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1047 + ... + 1053.
It is an arithmetic number, because the mean of its divisors is an integer number (589).
27350 is an apocalyptic number.
7350 is a gapful number since it is divisible by the number (70) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 7350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10602).
7350 is an abundant number, since it is smaller than the sum of its proper divisors (13854).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7350 is a wasteful number, since it uses less digits than its factorization.
7350 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 29 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 105, while the sum is 15.
The square root of 7350 is about 85.7321409974.
The cubic root of 7350 is about 19.4429628501.
The spelling of 7350 in words is "seven thousand, three hundred fifty".