7125664 has 48 divisors (see below), whose sum is σ = 17273088. Its totient is φ = 2817792.

The previous prime is 7125661. The next prime is 7125673. The reversal of 7125664 is 4665217.

It is a happy number.

It is a super-3 number, since 3×7125664³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (7125661) 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, 1689 + ... + 4135.

It is an arithmetic number, because the mean of its divisors is an integer number (359856).

Almost surely, 2^7125664 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 7125664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8636544).

7125664 is an abundant number, since it is smaller than the sum of its proper divisors (10147424).

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

7125664 is a wasteful number, since it uses less digits than its factorization.

7125664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2469 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 7125664 is about 2669.3939387059. The cubic root of 7125664 is about 192.4310339331.

The spelling of 7125664 in words is "seven million, one hundred twenty-five thousand, six hundred sixty-four".