7205472 has 72 divisors (see below), whose sum is σ = 20756736. Its totient is φ = 2370816.

The previous prime is 7205461. The next prime is 7205477. The reversal of 7205472 is 2745027.

7205472 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7205477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36478 + ... + 36674.

It is an arithmetic number, because the mean of its divisors is an integer number (288288).

Almost surely, 2^7205472 is an apocalyptic number.

7205472 is a gapful number since it is divisible by the number (72) 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 7205472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378368).

7205472 is an abundant number, since it is smaller than the sum of its proper divisors (13551264).

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

7205472 is a wasteful number, since it uses less digits than its factorization.

7205472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 7205472 is about 2684.3010263381. The cubic root of 7205472 is about 193.1467826626.

The spelling of 7205472 in words is "seven million, two hundred five thousand, four hundred seventy-two".