7566720 has 128 divisors (see below), whose sum is σ = 27613440. Its totient is φ = 1726464.

The previous prime is 7566703. The next prime is 7566737. The reversal of 7566720 is 276657.

It is an interprime number because it is at equal distance from previous prime (7566703) and next prime (7566737).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13159 + ... + 13721.

It is an arithmetic number, because the mean of its divisors is an integer number (215730).

Almost surely, 2^7566720 is an apocalyptic number.

7566720 is a gapful number since it is divisible by the number (70) 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 7566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13806720).

7566720 is an abundant number, since it is smaller than the sum of its proper divisors (20046720).

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

7566720 is a wasteful number, since it uses less digits than its factorization.

7566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 7566720 is about 2750.7671657194. The cubic root of 7566720 is about 196.3221136795.

It can be divided in two parts, 75 and 66720, that added together give a triangular number (66795 = T₃₆₅).

The spelling of 7566720 in words is "seven million, five hundred sixty-six thousand, seven hundred twenty".