7270944 has 96 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 2230272.

The previous prime is 7270937. The next prime is 7270969. The reversal of 7270944 is 4490727.

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

It is a super-2 number, since 2×7270944² = 105733253302272, which contains 22 as substring.

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, 81652 + ... + 81740.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 2^7270944 is an apocalyptic number.

7270944 is a gapful number since it is divisible by the number (74) 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 7270944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

7270944 is an abundant number, since it is smaller than the sum of its proper divisors (13413216).

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

7270944 is a wasteful number, since it uses less digits than its factorization.

7270944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 7270944 is about 2696.4688019705. The cubic root of 7270944 is about 193.7300244408.

The spelling of 7270944 in words is "seven million, two hundred seventy thousand, nine hundred forty-four".