7481200 has 60 divisors (see below), whose sum is σ = 18335880. Its totient is φ = 2932480.

The previous prime is 7481197. The next prime is 7481203. The reversal of 7481200 is 21847.

It is an interprime number because it is at equal distance from previous prime (7481197) and next prime (7481203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7481203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23442 + ... + 23758.

It is an arithmetic number, because the mean of its divisors is an integer number (305598).

Almost surely, 2^7481200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7481200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9167940).

7481200 is an abundant number, since it is smaller than the sum of its proper divisors (10854680).

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

7481200 is a wasteful number, since it uses less digits than its factorization.

7481200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 7481200 is about 2735.1782391647. The cubic root of 7481200 is about 195.5796907386.

The spelling of 7481200 in words is "seven million, four hundred eighty-one thousand, two hundred".