7263920 has 80 divisors (see below), whose sum is σ = 18213120. Its totient is φ = 2688000.

The previous prime is 7263917. The next prime is 7263931. The reversal of 7263920 is 293627.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71870 + ... + 71970.

It is an arithmetic number, because the mean of its divisors is an integer number (227664).

Almost surely, 2^7263920 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 7263920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106560).

7263920 is an abundant number, since it is smaller than the sum of its proper divisors (10949200).

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

7263920 is a wasteful number, since it uses less digits than its factorization.

7263920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 7263920 is about 2695.1660431224. The cubic root of 7263920 is about 193.6676208928.

The spelling of 7263920 in words is "seven million, two hundred sixty-three thousand, nine hundred twenty".