7142304 has 96 divisors (see below), whose sum is σ = 20744640. Its totient is φ = 2138112.

The previous prime is 7142299. The next prime is 7142321. The reversal of 7142304 is 4032417.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73584 + ... + 73680.

It is an arithmetic number, because the mean of its divisors is an integer number (216090).

Almost surely, 2^7142304 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 7142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10372320).

7142304 is an abundant number, since it is smaller than the sum of its proper divisors (13602336).

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

7142304 is a wasteful number, since it uses less digits than its factorization.

7142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 7142304 is about 2672.5089335679. The cubic root of 7142304 is about 192.5807071488.

It can be divided in two parts, 7 and 142304, that added together give a triangular number (142311 = T₅₃₃).

The spelling of 7142304 in words is "seven million, one hundred forty-two thousand, three hundred four".