7271040 has 128 divisors (see below), whose sum is σ = 26536320. Its totient is φ = 1658880.

The previous prime is 7271027. The next prime is 7271057. The reversal of 7271040 is 401727.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 7270998 and 7271016.

It is a congruent number.

It is an unprimeable number.

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, 13170 + ... + 13710.

It is an arithmetic number, because the mean of its divisors is an integer number (207315).

Almost surely, 2^7271040 is an apocalyptic number.

7271040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13268160).

7271040 is an abundant number, since it is smaller than the sum of its proper divisors (19265280).

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

7271040 is a wasteful number, since it uses less digits than its factorization.

7271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 7271040 is about 2696.4866029706. The cubic root of 7271040 is about 193.7308770582.

Adding to 7271040 its reverse (401727), we get a palindrome (7672767).

The spelling of 7271040 in words is "seven million, two hundred seventy-one thousand, forty".