13072752 has 200 divisors, whose sum is σ = 47532672. Its totient is φ = 3369600.

The previous prime is 13072739. The next prime is 13072757. The reversal of 13072752 is 25727031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13072757) 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 39 ways as a sum of consecutive naturals, for example, 99727 + ... + 99857.

Almost surely, 2^13072752 is an apocalyptic number.

13072752 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 13072752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23766336).

13072752 is an abundant number, since it is smaller than the sum of its proper divisors (34459920).

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

13072752 is a wasteful number, since it uses less digits than its factorization.

13072752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 13072752 is about 3615.6260868624. The cubic root of 13072752 is about 235.5712794904.

Adding to 13072752 its reverse (25727031), we get a palindrome (38799783).

It can be divided in two parts, 13072 and 752, that added together give a cube (13824 = 24³).

The spelling of 13072752 in words is "thirteen million, seventy-two thousand, seven hundred fifty-two".