7261200 has 90 divisors (see below), whose sum is σ = 25210874. Its totient is φ = 1935360.

The previous prime is 7261187. The next prime is 7261207. The reversal of 7261200 is 21627.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1327104 + 5934096 = 1152^2 + 2436^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7261207) 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, 2592 + ... + 4608.

Almost surely, 2^7261200 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 7261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12605437).

7261200 is an abundant number, since it is smaller than the sum of its proper divisors (17949674).

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

7261200 is a wasteful number, since it uses less digits than its factorization.

7261200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 7261200 is about 2694.6613887463. The cubic root of 7261200 is about 193.6434447045.

Adding to 7261200 its reverse (21627), we get a palindrome (7282827).

The spelling of 7261200 in words is "seven million, two hundred sixty-one thousand, two hundred".