7256040 has 128 divisors (see below), whose sum is σ = 24883200. Its totient is φ = 1675520.

The previous prime is 7256027. The next prime is 7256047. The reversal of 7256040 is 406527.

7256040 = 41² + 42² + ... + 279².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 7256040.

It is not an unprimeable number, because it can be changed into a prime (7256047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30241 + ... + 30479.

It is an arithmetic number, because the mean of its divisors is an integer number (194400).

Almost surely, 2^7256040 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 7256040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441600).

7256040 is an abundant number, since it is smaller than the sum of its proper divisors (17627160).

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

7256040 is a wasteful number, since it uses less digits than its factorization.

7256040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 7256040 is about 2693.7037699049. The cubic root of 7256040 is about 193.5975644572.

The spelling of 7256040 in words is "seven million, two hundred fifty-six thousand, forty".