7575072 has 48 divisors (see below), whose sum is σ = 20936160. Its totient is φ = 2391552.

The previous prime is 7575059. The next prime is 7575077. The reversal of 7575072 is 2705757.

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 (7575077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253 + ... + 3900.

It is an arithmetic number, because the mean of its divisors is an integer number (436170).

Almost surely, 2^7575072 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 7575072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10468080).

7575072 is an abundant number, since it is smaller than the sum of its proper divisors (13361088).

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

7575072 is a wasteful number, since it uses less digits than its factorization.

7575072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4177 counting only the distinct ones).

The product of its (nonzero) digits is 17150, while the sum is 33.

The square root of 7575072 is about 2752.2848689770. The cubic root of 7575072 is about 196.3943193106.

The spelling of 7575072 in words is "seven million, five hundred seventy-five thousand, seventy-two".