13239072 has 192 divisors, whose sum is σ = 48384000. Its totient is φ = 3421440.

The previous prime is 13239059. The next prime is 13239103. The reversal of 13239072 is 27093231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66429 + ... + 66627.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 2^13239072 is an apocalyptic number.

13239072 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 13239072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192000).

13239072 is an abundant number, since it is smaller than the sum of its proper divisors (35144928).

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

13239072 is a wasteful number, since it uses less digits than its factorization.

13239072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13239072 is about 3638.5535587648. The cubic root of 13239072 is about 236.5661024396.

It can be divided in two parts, 132 and 39072, that added together give a square (39204 = 198²).

The spelling of 13239072 in words is "thirteen million, two hundred thirty-nine thousand, seventy-two".