7256736 has 96 divisors (see below), whose sum is σ = 21833280. Its totient is φ = 2343168.

The previous prime is 7256719. The next prime is 7256737. The reversal of 7256736 is 6376527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 7256736.

It is not an unprimeable number, because it can be changed into a prime (7256737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31855 + ... + 32081.

It is an arithmetic number, because the mean of its divisors is an integer number (227430).

Almost surely, 2^7256736 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 7256736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10916640).

7256736 is an abundant number, since it is smaller than the sum of its proper divisors (14576544).

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

7256736 is a wasteful number, since it uses less digits than its factorization.

7256736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 7256736 is about 2693.8329569593. The cubic root of 7256736 is about 193.6037542245.

The spelling of 7256736 in words is "seven million, two hundred fifty-six thousand, seven hundred thirty-six".