7672320 has 200 divisors, whose sum is σ = 28222524. Its totient is φ = 1990656.

The previous prime is 7672319. The next prime is 7672337. The reversal of 7672320 is 232767.

It can be written as a sum of positive squares in 2 ways, for example, as 7485696 + 186624 = 2736^2 + 432^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 207342 + ... + 207378.

Almost surely, 2^7672320 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 7672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14111262).

7672320 is an abundant number, since it is smaller than the sum of its proper divisors (20550204).

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

7672320 is an equidigital number, since it uses as much as digits as its factorization.

7672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 7672320 is about 2769.8953048807. The cubic root of 7672320 is about 197.2311783571.

The spelling of 7672320 in words is "seven million, six hundred seventy-two thousand, three hundred twenty".