13072000 has 128 divisors (see below), whose sum is σ = 35006400. Its totient is φ = 4838400.

The previous prime is 13071979. The next prime is 13072009. The reversal of 13072000 is 27031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13072009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303979 + ... + 304021.

Almost surely, 2^13072000 is an apocalyptic number.

13072000 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 13072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503200).

13072000 is an abundant number, since it is smaller than the sum of its proper divisors (21934400).

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

13072000 is an equidigital number, since it uses as much as digits as its factorization.

13072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 13072000 is about 3615.5220923125. The cubic root of 13072000 is about 235.5667623849.

Adding to 13072000 its reverse (27031), we get a palindrome (13099031).

The spelling of 13072000 in words is "thirteen million, seventy-two thousand".