73728144 has 240 divisors, whose sum is σ = 255013440. Its totient is φ = 20575296.

The previous prime is 73728139. The next prime is 73728157. The reversal of 73728144 is 44182737.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 73728099 and 73728108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1714587 + ... + 1714629.

It is an arithmetic number, because the mean of its divisors is an integer number (1062556).

Almost surely, 2^73728144 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 73728144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127506720).

73728144 is an abundant number, since it is smaller than the sum of its proper divisors (181285296).

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

73728144 is an equidigital number, since it uses as much as digits as its factorization.

73728144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 55 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 73728144 is about 8586.5094188500. The cubic root of 73728144 is about 419.3188960671.

The spelling of 73728144 in words is "seventy-three million, seven hundred twenty-eight thousand, one hundred forty-four".