13702272 has 64 divisors (see below), whose sum is σ = 38556000. Its totient is φ = 4296704.

The previous prime is 13702253. The next prime is 13702277. The reversal of 13702272 is 27220731.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (13702277) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5479 + ... + 7577.

Almost surely, 2^13702272 is an apocalyptic number.

13702272 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 13702272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278000).

13702272 is an abundant number, since it is smaller than the sum of its proper divisors (24853728).

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

13702272 is a wasteful number, since it uses less digits than its factorization.

13702272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 13702272 is about 3701.6580068937. The cubic root of 13702272 is about 239.2934777059.

The spelling of 13702272 in words is "thirteen million, seven hundred two thousand, two hundred seventy-two".