7672560 has 80 divisors (see below), whose sum is σ = 27188736. Its totient is φ = 1753344.

The previous prime is 7672549. The next prime is 7672571. The reversal of 7672560 is 652767.

It is an interprime number because it is at equal distance from previous prime (7672549) and next prime (7672571).

It is a tau number, because it is divible by the number of its divisors (80).

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, 604 + ... + 3963.

Almost surely, 2^7672560 is an apocalyptic number.

7672560 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 7672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13594368).

7672560 is an abundant number, since it is smaller than the sum of its proper divisors (19516176).

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

7672560 is a wasteful number, since it uses less digits than its factorization.

7672560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590 (or 4584 counting only the distinct ones).

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

The square root of 7672560 is about 2769.9386274790. The cubic root of 7672560 is about 197.2332348836.

The spelling of 7672560 in words is "seven million, six hundred seventy-two thousand, five hundred sixty".