7002144 has 72 divisors (see below), whose sum is σ = 20432412. Its totient is φ = 2273280.

The previous prime is 7002131. The next prime is 7002157. The reversal of 7002144 is 4412007.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7002131) and next prime (7002157).

It can be written as a sum of positive squares in 2 ways, for example, as 6656400 + 345744 = 2580^2 + 588^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 11512 + ... + 12104.

Almost surely, 2^7002144 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 7002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10216206).

7002144 is an abundant number, since it is smaller than the sum of its proper divisors (13430268).

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

7002144 is a wasteful number, since it uses less digits than its factorization.

7002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 7002144 is about 2646.1564579594. The cubic root of 7002144 is about 191.3126464001.

The spelling of 7002144 in words is "seven million, two thousand, one hundred forty-four".