7265664 has 192 divisors, whose sum is σ = 25777440. Its totient is φ = 1916928.

The previous prime is 7265663. The next prime is 7265701. The reversal of 7265664 is 4665627.

7265664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7265663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137062 + ... + 137114.

Almost surely, 2^7265664 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 7265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12888720).

7265664 is an abundant number, since it is smaller than the sum of its proper divisors (18511776).

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

7265664 is a wasteful number, since it uses less digits than its factorization.

7265664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 7265664 is about 2695.4895659230. The cubic root of 7265664 is about 193.6831189207.

The spelling of 7265664 in words is "seven million, two hundred sixty-five thousand, six hundred sixty-four".