7200648 has 144 divisors (see below), whose sum is σ = 24586380. Its totient is φ = 1886976.

The previous prime is 7200643. The next prime is 7200659. The reversal of 7200648 is 8460027.

It can be written as a sum of positive squares in 2 ways, for example, as 6563844 + 636804 = 2562^2 + 798^2 .

7200648 is a modest number, since divided by 648 gives 72 as remainder.

It is not an unprimeable number, because it can be changed into a prime (7200643) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45786 + ... + 45942.

Almost surely, 2^7200648 is an apocalyptic number.

7200648 is a gapful number since it is divisible by the number (78) 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 7200648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12293190).

7200648 is an abundant number, since it is smaller than the sum of its proper divisors (17385732).

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

7200648 is a wasteful number, since it uses less digits than its factorization.

7200648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7200648 is about 2683.4023179538. The cubic root of 7200648 is about 193.1036696837.

It can be divided in two parts, 7200 and 648, that multiplied together give a square (4665600 = 2160²).

The spelling of 7200648 in words is "seven million, two hundred thousand, six hundred forty-eight".