7972328 has 64 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 3073536.

The previous prime is 7972309. The next prime is 7972339. The reversal of 7972328 is 8232797.

It is a cake number, because a cake can be divided into 7972328 parts by 363 planar cuts.

It is a junction number, because it is equal to n+sod(n) for n = 7972291 and 7972300.

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, 34100 + ... + 34332.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 2^7972328 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 7972328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

7972328 is an abundant number, since it is smaller than the sum of its proper divisors (10897432).

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

7972328 is a wasteful number, since it uses less digits than its factorization.

7972328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 302 counting only the distinct ones).

The product of its digits is 42336, while the sum is 38.

The square root of 7972328 is about 2823.5311225485. The cubic root of 7972328 is about 199.7691336061.

It can be divided in two parts, 797 and 2328, that added together give a 5-th power (3125 = 5⁵).

The spelling of 7972328 in words is "seven million, nine hundred seventy-two thousand, three hundred twenty-eight".