13123072 has 60 divisors (see below), whose sum is σ = 28062936. Its totient is φ = 6128640.

The previous prime is 13123063. The next prime is 13123079. The reversal of 13123072 is 27032131.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123079) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 184797 + ... + 184867.

Almost surely, 2^13123072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031468).

13123072 is an abundant number, since it is smaller than the sum of its proper divisors (14939864).

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

13123072 is an frugal number, since it uses more digits than its factorization.

13123072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 13123072 is about 3622.5780874951. The cubic root of 13123072 is about 235.8731483372.

The spelling of 13123072 in words is "thirteen million, one hundred twenty-three thousand, seventy-two".