7385120 has 48 divisors (see below), whose sum is σ = 17658648. Its totient is φ = 2918400.

The previous prime is 7385117. The next prime is 7385137. The reversal of 7385120 is 215837.

It can be written as a sum of positive squares in 4 ways, for example, as 7376656 + 8464 = 2716^2 + 92^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7385120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15932 + ... + 16388.

Almost surely, 2^7385120 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 7385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8829324).

7385120 is an abundant number, since it is smaller than the sum of its proper divisors (10273528).

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

7385120 is a wasteful number, since it uses less digits than its factorization.

7385120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 7385120 is about 2717.5577270778. The cubic root of 7385120 is about 194.7388131488.

The spelling of 7385120 in words is "seven million, three hundred eighty-five thousand, one hundred twenty".