7205760 has 160 divisors (see below), whose sum is σ = 25918200. Its totient is φ = 1907712.

The previous prime is 7205753. The next prime is 7205761. The reversal of 7205760 is 675027.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7205761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51771 + ... + 51909.

Almost surely, 2^7205760 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 7205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12959100).

7205760 is an abundant number, since it is smaller than the sum of its proper divisors (18712440).

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

7205760 is a wasteful number, since it uses less digits than its factorization.

7205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 7205760 is about 2684.3546710522. The cubic root of 7205760 is about 193.1493559630.

The spelling of 7205760 in words is "seven million, two hundred five thousand, seven hundred sixty".