7646272 has 28 divisors (see below), whose sum is σ = 15587980. Its totient is φ = 3718656.

The previous prime is 7646263. The next prime is 7646273. The reversal of 7646272 is 2726467.

It can be written as a sum of positive squares in 2 ways, for example, as 4769856 + 2876416 = 2184^2 + 1696^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7646273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 754 + ... + 3982.

Almost surely, 2^7646272 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 7646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7793990).

7646272 is an abundant number, since it is smaller than the sum of its proper divisors (7941708).

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

7646272 is a wasteful number, since it uses less digits than its factorization.

7646272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3268 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The square root of 7646272 is about 2765.1893244406. The cubic root of 7646272 is about 197.0077212740.

The spelling of 7646272 in words is "seven million, six hundred forty-six thousand, two hundred seventy-two".