7361200 has 120 divisors (see below), whose sum is σ = 22141440. Its totient is φ = 2284800.

The previous prime is 7361197. The next prime is 7361203. The reversal of 7361200 is 21637.

It is an interprime number because it is at equal distance from previous prime (7361197) and next prime (7361203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7361203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30681 + ... + 30919.

It is an arithmetic number, because the mean of its divisors is an integer number (184512).

Almost surely, 2^7361200 is an apocalyptic number.

7361200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7361200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070720).

7361200 is an abundant number, since it is smaller than the sum of its proper divisors (14780240).

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

7361200 is a wasteful number, since it uses less digits than its factorization.

7361200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 7361200 is about 2713.1531471703. The cubic root of 7361200 is about 194.5283362870.

Adding to 7361200 its reverse (21637), we get a palindrome (7382837).

It can be divided in two parts, 736 and 1200, that added together give a square (1936 = 44²).

The spelling of 7361200 in words is "seven million, three hundred sixty-one thousand, two hundred".