7288020 has 72 divisors (see below), whose sum is σ = 23281440. Its totient is φ = 1840320.

The previous prime is 7288013. The next prime is 7288031. The reversal of 7288020 is 208827.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2355 + ... + 4485.

Almost surely, 2^7288020 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 7288020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11640720).

7288020 is an abundant number, since it is smaller than the sum of its proper divisors (15993420).

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

7288020 is a wasteful number, since it uses less digits than its factorization.

7288020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 7288020 is about 2699.6333084328. The cubic root of 7288020 is about 193.8815658603.

It can be divided in two parts, 72880 and 20, that added together give a square (72900 = 270²).

The spelling of 7288020 in words is "seven million, two hundred eighty-eight thousand, twenty".