73248 has 48 divisors (see below), whose sum is σ = 221760. Its totient is φ = 20736.

The previous prime is 73243. The next prime is 73259. The reversal of 73248 is 84237.

It is a tau number, because it is divible by the number of its divisors (48).

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 an Ulam number.

It is one of the 548 Lynch-Bell numbers.

It is not an unprimeable number, because it can be changed into a prime (73243) 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, 618 + ... + 726.

It is an arithmetic number, because the mean of its divisors is an integer number (4620).

2⁷³²⁴⁸ 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 73248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110880).

73248 is an abundant number, since it is smaller than the sum of its proper divisors (148512).

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

73248 is a wasteful number, since it uses less digits than its factorization.

73248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 121 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 73248 is about 270.6436771846. The cubic root of 73248 is about 41.8406661467.

It can be divided in two parts, 732 and 48, that added together give a triangular number (780 = T₃₉).

The spelling of 73248 in words is "seventy-three thousand, two hundred forty-eight".