13575072 has 48 divisors (see below), whose sum is σ = 40727232. Its totient is φ = 3878400.

The previous prime is 13575031. The next prime is 13575077. The reversal of 13575072 is 27057531.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (13575077) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9429 + ... + 10772.

It is an arithmetic number, because the mean of its divisors is an integer number (848484).

Almost surely, 2^13575072 is an apocalyptic number.

13575072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13575072 is an abundant number, since it is smaller than the sum of its proper divisors (27152160).

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

13575072 is a wasteful number, since it uses less digits than its factorization.

13575072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20221 (or 20213 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 13575072 is about 3684.4364562305. The cubic root of 13575072 is about 238.5507102241.

The spelling of 13575072 in words is "thirteen million, five hundred seventy-five thousand, seventy-two".