7072828 has 48 divisors (see below), whose sum is σ = 14874048. Its totient is φ = 2880000.

The previous prime is 7072823. The next prime is 7072831. The reversal of 7072828 is 8282707.

It is a junction number, because it is equal to n+sod(n) for n = 7072793 and 7072802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7072823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69978 + ... + 70078.

It is an arithmetic number, because the mean of its divisors is an integer number (309876).

Almost surely, 2^7072828 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 7072828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7437024).

7072828 is an abundant number, since it is smaller than the sum of its proper divisors (7801220).

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

7072828 is a wasteful number, since it uses less digits than its factorization.

7072828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 7072828 is about 2659.4788963254. The cubic root of 7072828 is about 191.9542353309.

It can be divided in two parts, 70728 and 28, that added together give a square (70756 = 266²).

The spelling of 7072828 in words is "seven million, seventy-two thousand, eight hundred twenty-eight".