7241256 has 96 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 2131200.

The previous prime is 7241207. The next prime is 7241257. The reversal of 7241256 is 6521427.

7241256 = T₅₅ + T₅₆ + ... + T₃₅₁.

Its product of digits (3360) is a multiple of the sum of its prime divisors (280).

It is not an unprimeable number, because it can be changed into a prime (7241257) 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 23 ways as a sum of consecutive naturals, for example, 32361 + ... + 32583.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 2^7241256 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 7241256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360).

7241256 is an abundant number, since it is smaller than the sum of its proper divisors (14773464).

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

7241256 is a wasteful number, since it uses less digits than its factorization.

7241256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 280 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 7241256 is about 2690.9581936552. The cubic root of 7241256 is about 193.4659916596.

It can be divided in two parts, 72 and 41256, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 7241256 in words is "seven million, two hundred forty-one thousand, two hundred fifty-six".