7243920 has 60 divisors (see below), whose sum is σ = 24329916. Its totient is φ = 1931520.

The previous prime is 7243903. The next prime is 7243927. The reversal of 7243920 is 293427.

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 3873024 = 1836^2 + 1968^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×7243920³ (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7243927) 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, 4311 + ... + 5750.

Almost surely, 2^7243920 is an apocalyptic number.

It is an amenable number.

7243920 is an abundant number, since it is smaller than the sum of its proper divisors (17085996).

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

7243920 is a wasteful number, since it uses less digits than its factorization.

7243920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10080 (or 10071 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7243920 is about 2691.4531391053. The cubic root of 7243920 is about 193.4897136130.

The spelling of 7243920 in words is "seven million, two hundred forty-three thousand, nine hundred twenty".