7243712 has 112 divisors (see below), whose sum is σ = 18531840. Its totient is φ = 2737152.

The previous prime is 7243711. The next prime is 7243721. The reversal of 7243712 is 2173427.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×7243712³ (a number of 22 digits) contains 333 as substring.

It is a d-powerful number, because it can be written as 7⁷ + 2¹⁷ + 4 + 3 + 7⁸ + 1 + 2¹⁹ .

Its product of digits (2352) is a multiple of the sum of its prime factors (98).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7243711) 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 15 ways as a sum of consecutive naturals, for example, 195758 + ... + 195794.

Almost surely, 2^7243712 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 7243712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9265920).

7243712 is an abundant number, since it is smaller than the sum of its proper divisors (11288128).

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

7243712 is a wasteful number, since it uses less digits than its factorization.

7243712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

The product of its digits is 2352, while the sum is 26.

The square root of 7243712 is about 2691.4144979917. The cubic root of 7243712 is about 193.4878616578.

The spelling of 7243712 in words is "seven million, two hundred forty-three thousand, seven hundred twelve".