13375872 has 96 divisors (see below), whose sum is σ = 40814280. Its totient is φ = 4190208.

The previous prime is 13375861. The next prime is 13375877. The reversal of 13375872 is 27857331.

It is a tau number, because it is divible by the number of its divisors (96).

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

Its product of digits (35280) is a multiple of the sum of its prime factors (720).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13375877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19243 + ... + 19925.

Almost surely, 2^13375872 is an apocalyptic number.

13375872 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 13375872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20407140).

13375872 is an abundant number, since it is smaller than the sum of its proper divisors (27438408).

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

13375872 is a wasteful number, since it uses less digits than its factorization.

13375872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 705 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 13375872 is about 3657.3039250246. The cubic root of 13375872 is about 237.3781284242.

The spelling of 13375872 in words is "thirteen million, three hundred seventy-five thousand, eight hundred seventy-two".