13172544 has 252 divisors, whose sum is σ = 49186592. Its totient is φ = 3421440.

The previous prime is 13172543. The next prime is 13172563. The reversal of 13172544 is 44527131.

13172544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-6 number, since 6×13172544⁶ (a number of 44 digits) contains 666666 as substring.

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

Its product of digits (3360) is a multiple of the sum of its prime factors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13172543) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1197499 + ... + 1197509.

Almost surely, 2^13172544 is an apocalyptic number.

13172544 is a gapful number since it is divisible by the number (14) 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 13172544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24593296).

13172544 is an abundant number, since it is smaller than the sum of its proper divisors (36014048).

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

13172544 is an equidigital number, since it uses as much as digits as its factorization.

13172544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 23 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 13172544 is about 3629.3999504050. The cubic root of 13172544 is about 236.1691787033.

Adding to 13172544 its reverse (44527131), we get a palindrome (57699675).

It can be divided in two parts, 131725 and 44, that added together give a square (131769 = 363²).

The spelling of 13172544 in words is "thirteen million, one hundred seventy-two thousand, five hundred forty-four".