7267872 has 24 divisors (see below), whose sum is σ = 19078416. Its totient is φ = 2422592.

The previous prime is 7267849. The next prime is 7267877. The reversal of 7267872 is 2787627.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7267872.

It is not an unprimeable number, because it can be changed into a prime (7267877) 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 3 ways as a sum of consecutive naturals, for example, 37758 + ... + 37949.

It is an arithmetic number, because the mean of its divisors is an integer number (794934).

Almost surely, 2^7267872 is an apocalyptic number.

It is an amenable number.

7267872 is an abundant number, since it is smaller than the sum of its proper divisors (11810544).

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

7267872 is a wasteful number, since it uses less digits than its factorization.

7267872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75720 (or 75712 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The square root of 7267872 is about 2695.8991079044. The cubic root of 7267872 is about 193.7027367199.

The spelling of 7267872 in words is "seven million, two hundred sixty-seven thousand, eight hundred seventy-two".