7152320 has 112 divisors (see below), whose sum is σ = 20287488. Its totient is φ = 2350080.

The previous prime is 7152283. The next prime is 7152323. The reversal of 7152320 is 232517.

7152320 = T₄₄₉ + T₄₅₀ + ... + T₅₁₀.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 7152292 and 7152301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7152323) 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, 69389 + ... + 69491.

Almost surely, 2^7152320 is an apocalyptic number.

7152320 is a gapful number since it is divisible by the number (70) 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 7152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10143744).

7152320 is an abundant number, since it is smaller than the sum of its proper divisors (13135168).

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

7152320 is a wasteful number, since it uses less digits than its factorization.

7152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 7152320 is about 2674.3821716426. The cubic root of 7152320 is about 192.6706868624.

Adding to 7152320 its reverse (232517), we get a palindrome (7384837).

The spelling of 7152320 in words is "seven million, one hundred fifty-two thousand, three hundred twenty".