7205796 has 72 divisors (see below), whose sum is σ = 19950840. Its totient is φ = 2179584.

The previous prime is 7205771. The next prime is 7205797. The reversal of 7205796 is 6975027.

It can be written as a sum of positive squares in 4 ways, for example, as 518400 + 6687396 = 720^2 + 2586^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7205796.

It is not an unprimeable number, because it can be changed into a prime (7205797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41566 + ... + 41738.

It is an arithmetic number, because the mean of its divisors is an integer number (277095).

Almost surely, 2^7205796 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 7205796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9975420).

7205796 is an abundant number, since it is smaller than the sum of its proper divisors (12745044).

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

7205796 is a wasteful number, since it uses less digits than its factorization.

7205796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 7205796 is about 2684.3613765661. The cubic root of 7205796 is about 193.1496776207.

It can be divided in two parts, 7205 and 796, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 7205796 in words is "seven million, two hundred five thousand, seven hundred ninety-six".