13257072 has 60 divisors (see below), whose sum is σ = 37981944. Its totient is φ = 4314240.

The previous prime is 13257061. The next prime is 13257073. The reversal of 13257072 is 27075231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13257073) 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, 5122 + ... + 7262.

Almost surely, 2^13257072 is an apocalyptic number.

13257072 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 13257072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990972).

13257072 is an abundant number, since it is smaller than the sum of its proper divisors (24724872).

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

13257072 is a wasteful number, since it uses less digits than its factorization.

13257072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 13257072 is about 3641.0262289635. The cubic root of 13257072 is about 236.6732665840.

The spelling of 13257072 in words is "thirteen million, two hundred fifty-seven thousand, seventy-two".