13082173272 has 168 divisors, whose sum is σ = 42782096700. Its totient is φ = 3737682144.

The previous prime is 13082173253. The next prime is 13082173283. The reversal of 13082173272 is 27237128031.

13082173272 is a `hidden beast` number, since 1 + 308 + 21 + 7 + 327 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×13082173272² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 262879 + ... + 308657.

Almost surely, 2^13082173272 is an apocalyptic number.

13082173272 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 13082173272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21391048350).

13082173272 is an abundant number, since it is smaller than the sum of its proper divisors (29699923428).

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

13082173272 is an equidigital number, since it uses as much as digits as its factorization.

13082173272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45817 (or 45791 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 13082173272 in words is "thirteen billion, eighty-two million, one hundred seventy-three thousand, two hundred seventy-two".