7333920 has 144 divisors (see below), whose sum is σ = 27361152. Its totient is φ = 1774080.

The previous prime is 7333901. The next prime is 7333933. The reversal of 7333920 is 293337.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 15609 + ... + 16071.

It is an arithmetic number, because the mean of its divisors is an integer number (190008).

Almost surely, 2^7333920 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 7333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13680576).

7333920 is an abundant number, since it is smaller than the sum of its proper divisors (20027232).

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

7333920 is a wasteful number, since it uses less digits than its factorization.

7333920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 7333920 is about 2708.1211198911. The cubic root of 7333920 is about 194.2877368384.

The spelling of 7333920 in words is "seven million, three hundred thirty-three thousand, nine hundred twenty".