13218072 has 128 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 3456000.

The previous prime is 13218047. The next prime is 13218083. The reversal of 13218072 is 27081231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130822 + ... + 130922.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 2^13218072 is an apocalyptic number.

13218072 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 13218072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

13218072 is an abundant number, since it is smaller than the sum of its proper divisors (27908328).

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

13218072 is a wasteful number, since it uses less digits than its factorization.

13218072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 13218072 is about 3635.6666513860. Note that the first 4 decimals coincide. The cubic root of 13218072 is about 236.4409547661.

The spelling of 13218072 in words is "thirteen million, two hundred eighteen thousand, seventy-two".