7264000 has 72 divisors (see below), whose sum is σ = 18175248. Its totient is φ = 2892800.

The previous prime is 7263989. The next prime is 7264003. The reversal of 7264000 is 4627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7264003) 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, 31887 + ... + 32113.

It is an arithmetic number, because the mean of its divisors is an integer number (252434).

Almost surely, 2^7264000 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 7264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9087624).

7264000 is an abundant number, since it is smaller than the sum of its proper divisors (10911248).

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

7264000 is an equidigital number, since it uses as much as digits as its factorization.

7264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 7264000 is about 2695.1808844677. The cubic root of 7264000 is about 193.6683318658.

Adding to 7264000 its reverse (4627), we get a palindrome (7268627).

The spelling of 7264000 in words is "seven million, two hundred sixty-four thousand".