7290144 has 72 divisors (see below), whose sum is σ = 21965580. Its totient is φ = 2285568.

The previous prime is 7290121. The next prime is 7290187. The reversal of 7290144 is 4410927.

It is a happy number.

7290144 is nontrivially palindromic in base 11 and base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 7290000 + 144 = 2700^2 + 12^2 .

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

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4152 + ... + 5640.

Almost surely, 2^7290144 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 7290144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10982790).

7290144 is an abundant number, since it is smaller than the sum of its proper divisors (14675436).

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

7290144 is a wasteful number, since it uses less digits than its factorization.

7290144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7290144 is about 2700.0266665350. The cubic root of 7290144 is about 193.9003987965.

The spelling of 7290144 in words is "seven million, two hundred ninety thousand, one hundred forty-four".