7364144 has 40 divisors (see below), whose sum is σ = 15066000. Its totient is φ = 3481856.

The previous prime is 7364141. The next prime is 7364219. The reversal of 7364144 is 4414637.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (7364141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27242 + ... + 27510.

It is an arithmetic number, because the mean of its divisors is an integer number (376650).

Almost surely, 2^7364144 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 7364144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7533000).

7364144 is an abundant number, since it is smaller than the sum of its proper divisors (7701856).

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

7364144 is a wasteful number, since it uses less digits than its factorization.

7364144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its digits is 8064, while the sum is 29.

The square root of 7364144 is about 2713.6956351072. The cubic root of 7364144 is about 194.5542657139.

The spelling of 7364144 in words is "seven million, three hundred sixty-four thousand, one hundred forty-four".