7345728 has 140 divisors (see below), whose sum is σ = 23665180. Its totient is φ = 2239488.

The previous prime is 7345727. The next prime is 7345739. The reversal of 7345728 is 8275437.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 4359744 = 1728^2 + 2088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 7⁶ + 3⁷ + 4¹¹ + 5⁷ + 7⁷ + 2²¹ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 7345692 and 7345701.

It is not an unprimeable number, because it can be changed into a prime (7345727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67338 + ... + 67446.

It is an arithmetic number, because the mean of its divisors is an integer number (169037).

Almost surely, 2^7345728 is an apocalyptic number.

7345728 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832590).

7345728 is an abundant number, since it is smaller than the sum of its proper divisors (16319452).

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

7345728 is a wasteful number, since it uses less digits than its factorization.

7345728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 7345728 is about 2710.3003523595. The cubic root of 7345728 is about 194.3919521131.

The spelling of 7345728 in words is "seven million, three hundred forty-five thousand, seven hundred twenty-eight".