7530912 has 72 divisors (see below), whose sum is σ = 21752640. Its totient is φ = 2471040.

The previous prime is 7530911. The next prime is 7530931. The reversal of 7530912 is 2190357.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (7530911) 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 11 ways as a sum of consecutive naturals, for example, 22587 + ... + 22917.

It is an arithmetic number, because the mean of its divisors is an integer number (302120).

Almost surely, 2^7530912 is an apocalyptic number.

7530912 is a gapful number since it is divisible by the number (72) 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 7530912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10876320).

7530912 is an abundant number, since it is smaller than the sum of its proper divisors (14221728).

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

7530912 is a wasteful number, since it uses less digits than its factorization.

7530912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 7530912 is about 2744.2507174090. The cubic root of 7530912 is about 196.0119387424.

The spelling of 7530912 in words is "seven million, five hundred thirty thousand, nine hundred twelve".