13072400 has 60 divisors (see below), whose sum is σ = 34273104. Its totient is φ = 4752000.

The previous prime is 13072391. The next prime is 13072429. The reversal of 13072400 is 427031.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2915 + ... + 5885.

Almost surely, 2^13072400 is an apocalyptic number.

13072400 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 13072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136552).

13072400 is an abundant number, since it is smaller than the sum of its proper divisors (21200704).

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

13072400 is a wasteful number, since it uses less digits than its factorization.

13072400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 13072400 is about 3615.5774089348. The cubic root of 13072400 is about 235.5691651222.

Adding to 13072400 its reverse (427031), we get a palindrome (13499431).

The spelling of 13072400 in words is "thirteen million, seventy-two thousand, four hundred".