7181200 has 60 divisors (see below), whose sum is σ = 18593428. Its totient is φ = 2649600.

The previous prime is 7181197. The next prime is 7181203. The reversal of 7181200 is 21817.

It is an interprime number because it is at equal distance from previous prime (7181197) and next prime (7181203).

It can be written as a sum of positive squares in 6 ways, for example, as 891136 + 6290064 = 944^2 + 2508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7181203) 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, 4510 + ... + 5890.

Almost surely, 2^7181200 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 7181200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9296714).

7181200 is an abundant number, since it is smaller than the sum of its proper divisors (11412228).

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

7181200 is a wasteful number, since it uses less digits than its factorization.

7181200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 7181200 is about 2679.7761100510. The cubic root of 7181200 is about 192.9296637577.

It can be divided in two parts, 7181 and 200, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 7181200 in words is "seven million, one hundred eighty-one thousand, two hundred".