73224 has 40 divisors (see below), whose sum is σ = 206910. Its totient is φ = 24192.

The previous prime is 73189. The next prime is 73237. The reversal of 73224 is 42237.

It is a happy number.

73224 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 324 = 270^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 73197 and 73206.

It is a congruent number.

It is an unprimeable number.

73224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 592 + ... + 704.

2^{73224} 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 73224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103455).

73224 is an abundant number, since it is smaller than the sum of its proper divisors (133686).

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

73224 is a wasteful number, since it uses less digits than its factorization.

73224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 73224 is about 270.5993348107. The cubic root of 73224 is about 41.8360958936.

The spelling of 73224 in words is "seventy-three thousand, two hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 113 162 216 226 324 339 452 648 678 904 1017 1356 2034 2712 3051 4068 6102 8136 9153 12204 18306 24408 36612 73224

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