7242144 has 96 divisors (see below), whose sum is σ = 23425920. Its totient is φ = 1907712.

The previous prime is 7242143. The next prime is 7242149. The reversal of 7242144 is 4412427.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7242143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8322 + ... + 9150.

It is an arithmetic number, because the mean of its divisors is an integer number (244020).

Almost surely, 2^7242144 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 7242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11712960).

7242144 is an abundant number, since it is smaller than the sum of its proper divisors (16183776).

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

7242144 is a wasteful number, since it uses less digits than its factorization.

7242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 854 counting only the distinct ones).

The product of its digits is 1792, while the sum is 24.

The square root of 7242144 is about 2691.1231855863. The cubic root of 7242144 is about 193.4738996238.

The spelling of 7242144 in words is "seven million, two hundred forty-two thousand, one hundred forty-four".