7243872 has 48 divisors (see below), whose sum is σ = 19342512. Its totient is φ = 2373120.

The previous prime is 7243871. The next prime is 7243877. The reversal of 7243872 is 2783427.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7243871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5238 + ... + 6474.

It is an arithmetic number, because the mean of its divisors is an integer number (402969).

Almost surely, 2^7243872 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 7243872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9671256).

7243872 is an abundant number, since it is smaller than the sum of its proper divisors (12098640).

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

7243872 is a wasteful number, since it uses less digits than its factorization.

7243872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1303 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 7243872 is about 2691.4442219745. Note that the first 3 decimals coincide. The cubic root of 7243872 is about 193.4892862419.

The spelling of 7243872 in words is "seven million, two hundred forty-three thousand, eight hundred seventy-two".