13729972 has 12 divisors (see below), whose sum is σ = 24167556. Its totient is φ = 6824960.

The previous prime is 13729927. The next prime is 13729973. The reversal of 13729972 is 27992731.

It can be written as a sum of positive squares in 2 ways, for example, as 5400976 + 8328996 = 2324^2 + 2886^2 .

It is a super-2 number, since 2×13729972² = 377024262241568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13729973) 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, 9229 + ... + 10612.

It is an arithmetic number, because the mean of its divisors is an integer number (2013963).

Almost surely, 2^13729972 is an apocalyptic number.

It is an amenable number.

13729972 is a deficient number, since it is larger than the sum of its proper divisors (10437584).

13729972 is a wasteful number, since it uses less digits than its factorization.

13729972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20018 (or 20016 counting only the distinct ones).

The product of its digits is 47628, while the sum is 40.

The square root of 13729972 is about 3705.3976844598. The cubic root of 13729972 is about 239.4546180809.

The spelling of 13729972 in words is "thirteen million, seven hundred twenty-nine thousand, nine hundred seventy-two".