13506072 has 16 divisors (see below), whose sum is σ = 33765240. Its totient is φ = 4502016.

The previous prime is 13506067. The next prime is 13506079. The reversal of 13506072 is 27060531.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 562753 = 13506072 / (1 + 3 + 5 + 0 + 6 + 0 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13506079) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 281353 + ... + 281400.

Almost surely, 2^13506072 is an apocalyptic number.

13506072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13506072 is an abundant number, since it is smaller than the sum of its proper divisors (20259168).

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

13506072 is a wasteful number, since it uses less digits than its factorization.

13506072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562762 (or 562758 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 13506072 is about 3675.0608158233. The cubic root of 13506072 is about 238.1458513303.

The spelling of 13506072 in words is "thirteen million, five hundred six thousand, seventy-two".