7205120 has 72 divisors (see below), whose sum is σ = 18629016. Its totient is φ = 2654208.

The previous prime is 7205119. The next prime is 7205167. The reversal of 7205120 is 215027.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 7139584 = 256^2 + 2672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16424 + ... + 16856.

Almost surely, 2^7205120 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 7205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9314508).

7205120 is an abundant number, since it is smaller than the sum of its proper divisors (11423896).

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

7205120 is a wasteful number, since it uses less digits than its factorization.

7205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 7205120 is about 2684.2354591205. The cubic root of 7205120 is about 193.1436374245.

It can be divided in two parts, 720 and 5120, that multiplied together give a square (3686400 = 1920²).

The spelling of 7205120 in words is "seven million, two hundred five thousand, one hundred twenty".