7281600 has 168 divisors, whose sum is σ = 25133808. Its totient is φ = 1843200.

The previous prime is 7281587. The next prime is 7281629. The reversal of 7281600 is 61827.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177580 + ... + 177620.

It is an arithmetic number, because the mean of its divisors is an integer number (149606).

Almost surely, 2^7281600 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 7281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12566904).

7281600 is an abundant number, since it is smaller than the sum of its proper divisors (17852208).

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

7281600 is a wasteful number, since it uses less digits than its factorization.

7281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 7281600 is about 2698.4439960837. The cubic root of 7281600 is about 193.8246191943.

The spelling of 7281600 in words is "seven million, two hundred eighty-one thousand, six hundred".