13023972 has 72 divisors (see below), whose sum is σ = 37562616. Its totient is φ = 3769344.

The previous prime is 13023971. The next prime is 13023973. The reversal of 13023972 is 27932031.

It is an interprime number because it is at equal distance from previous prime (13023971) and next prime (13023973).

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 13003236 = 144^2 + 3606^2 .

It is not an unprimeable number, because it can be changed into a prime (13023971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7138 + ... + 8774.

It is an arithmetic number, because the mean of its divisors is an integer number (521703).

Almost surely, 2^13023972 is an apocalyptic number.

13023972 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 13023972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18781308).

13023972 is an abundant number, since it is smaller than the sum of its proper divisors (24538644).

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

13023972 is a wasteful number, since it uses less digits than its factorization.

13023972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1672 counting only the distinct ones).

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

The square root of 13023972 is about 3608.8740626406. The cubic root of 13023972 is about 235.2779087315.

The spelling of 13023972 in words is "thirteen million, twenty-three thousand, nine hundred seventy-two".