13072464 has 60 divisors (see below), whose sum is σ = 38185056. Its totient is φ = 4166976.

The previous prime is 13072457. The next prime is 13072517. The reversal of 13072464 is 46427031.

13072464 is a `hidden beast` number, since 130 + 72 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1339 + ... + 5285.

Almost surely, 2^13072464 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 13072464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19092528).

13072464 is an abundant number, since it is smaller than the sum of its proper divisors (25112592).

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

13072464 is a wasteful number, since it uses less digits than its factorization.

13072464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 13072464 is about 3615.5862595159. The cubic root of 13072464 is about 235.5695495556.

Adding to 13072464 its reverse (46427031), we get a palindrome (59499495).

The spelling of 13072464 in words is "thirteen million, seventy-two thousand, four hundred sixty-four".