7128352 has 72 divisors (see below), whose sum is σ = 17696448. Its totient is φ = 2766720.

The previous prime is 7128347. The next prime is 7128353. The reversal of 7128352 is 2538217.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 7128352.

It is not an unprimeable number, because it can be changed into a prime (7128353) 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, 26973 + ... + 27235.

It is an arithmetic number, because the mean of its divisors is an integer number (245784).

Almost surely, 2^7128352 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 7128352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848224).

7128352 is an abundant number, since it is smaller than the sum of its proper divisors (10568096).

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

7128352 is a wasteful number, since it uses less digits than its factorization.

7128352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 283 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 7128352 is about 2669.8973763049. The cubic root of 7128352 is about 192.4552276827.

It can be divided in two parts, 7128 and 352, that multiplied together give a square (2509056 = 1584²).

The spelling of 7128352 in words is "seven million, one hundred twenty-eight thousand, three hundred fifty-two".