13072320 has 224 divisors, whose sum is σ = 49377600. Its totient is φ = 3244032.

The previous prime is 13072313. The next prime is 13072321. The reversal of 13072320 is 2327031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13072293 and 13072302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13072321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 146836 + ... + 146924.

Almost surely, 2^13072320 is an apocalyptic number.

13072320 is a gapful number since it is divisible by the number (10) 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 13072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24688800).

13072320 is an abundant number, since it is smaller than the sum of its proper divisors (36305280).

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

13072320 is a wasteful number, since it uses less digits than its factorization.

13072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13072320 is about 3615.5663456781. The cubic root of 13072320 is about 235.5686845787.

Adding to 13072320 its reverse (2327031), we get a palindrome (15399351).

The spelling of 13072320 in words is "thirteen million, seventy-two thousand, three hundred twenty".