7253856 has 72 divisors (see below), whose sum is σ = 20933640. Its totient is φ = 2382336.

The previous prime is 7253837. The next prime is 7253861. The reversal of 7253856 is 6583527.

7253856 is a `hidden beast` number, since 72 + 538 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a d-powerful number, because it can be written as 7⁸ + 2²⁰ + 5⁵ + 3² + 8² + 5⁸ + 6⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 7253856.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25491 + ... + 25773.

It is an arithmetic number, because the mean of its divisors is an integer number (290745).

Almost surely, 2^7253856 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 7253856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10466820).

7253856 is an abundant number, since it is smaller than the sum of its proper divisors (13679784).

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

7253856 is a wasteful number, since it uses less digits than its factorization.

7253856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 7253856 is about 2693.2983496078. The cubic root of 7253856 is about 193.5781388243.

The spelling of 7253856 in words is "seven million, two hundred fifty-three thousand, eight hundred fifty-six".