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73248 = 2537109
BaseRepresentation
bin10001111000100000
310201110220
4101320200
54320443
61323040
7423360
oct217040
9121426
1073248
115003a
1236480
1327456
141c9a0
1516a83
hex11e20

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

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.

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

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 109 112 168 218 224 327 336 436 654 672 763 872 1308 1526 1744 2289 2616 3052 3488 4578 5232 6104 9156 10464 12208 18312 24416 36624 73248