13167072 has 72 divisors (see below), whose sum is σ = 37837800. Its totient is φ = 4343040.

The previous prime is 13167059. The next prime is 13167101. The reversal of 13167072 is 27076131.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37554 + ... + 37902.

It is an arithmetic number, because the mean of its divisors is an integer number (525525).

Almost surely, 2^13167072 is an apocalyptic number.

13167072 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 13167072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18918900).

13167072 is an abundant number, since it is smaller than the sum of its proper divisors (24670728).

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

13167072 is a wasteful number, since it uses less digits than its factorization.

13167072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 13167072 is about 3628.6460284795. The cubic root of 13167072 is about 236.1364718667.

The spelling of 13167072 in words is "thirteen million, one hundred sixty-seven thousand, seventy-two".