7205408 has 48 divisors (see below), whose sum is σ = 17075520. Its totient is φ = 2923776.

The previous prime is 7205383. The next prime is 7205437. The reversal of 7205408 is 8045027.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3410 + ... + 5102.

It is an arithmetic number, because the mean of its divisors is an integer number (355740).

Almost surely, 2^7205408 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 7205408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8537760).

7205408 is an abundant number, since it is smaller than the sum of its proper divisors (9870112).

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

7205408 is a wasteful number, since it uses less digits than its factorization.

7205408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 7205408 is about 2684.2891051450. The cubic root of 7205408 is about 193.1462108087.

The spelling of 7205408 in words is "seven million, two hundred five thousand, four hundred eight".