7272864 has 36 divisors (see below), whose sum is σ = 20683026. Its totient is φ = 2424192.

The previous prime is 7272841. The next prime is 7272869. The reversal of 7272864 is 4682727.

It can be written as a sum of positive squares in only one way, i.e., 4410000 + 2862864 = 2100^2 + 1692^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (7272869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12339 + ... + 12914.

Almost surely, 2^7272864 is an apocalyptic number.

It is an amenable number.

7272864 is an abundant number, since it is smaller than the sum of its proper divisors (13410162).

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

7272864 is a wasteful number, since it uses less digits than its factorization.

7272864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25269 (or 25258 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 7272864 is about 2696.8247996487. The cubic root of 7272864 is about 193.7470753634.

The spelling of 7272864 in words is "seven million, two hundred seventy-two thousand, eight hundred sixty-four".