72241344 has 336 divisors, whose sum is σ = 266273280. Its totient is φ = 18247680.

The previous prime is 72241331. The next prime is 72241451. The reversal of 72241344 is 44314227.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1761964 + ... + 1762004.

It is an arithmetic number, because the mean of its divisors is an integer number (792480).

Almost surely, 2^72241344 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 72241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133136640).

72241344 is an abundant number, since it is smaller than the sum of its proper divisors (194031936).

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

72241344 is a wasteful number, since it uses less digits than its factorization.

72241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 72241344 is about 8499.4908082779. The cubic root of 72241344 is about 416.4810756043.

The spelling of 72241344 in words is "seventy-two million, two hundred forty-one thousand, three hundred forty-four".