13001472 has 216 divisors, whose sum is σ = 44640960. Its totient is φ = 3732480.

The previous prime is 13001459. The next prime is 13001477. The reversal of 13001472 is 27410031.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a nialpdrome in base 12 and base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (13001477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684279 + ... + 684297.

Almost surely, 2^13001472 is an apocalyptic number.

13001472 is a gapful number since it is divisible by the number (12) 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 13001472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320480).

13001472 is an abundant number, since it is smaller than the sum of its proper divisors (31639488).

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

13001472 is an equidigital number, since it uses as much as digits as its factorization.

13001472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13001472 is about 3605.7553993581. The cubic root of 13001472 is about 235.1423432183.

It can be divided in two parts, 1300 and 1472, that added together give a palindrome (2772).

The spelling of 13001472 in words is "thirteen million, one thousand, four hundred seventy-two".