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72323244 = 223271092633
BaseRepresentation
bin1000100111110…
…01000010101100
312001002101211200
410103321002230
5122003320434
611102045500
71535510640
oct423710254
9161071750
1072323244
1137908584
1220279890
1311ca3126
149868c20
156539199
hex44f90ac

72323244 has 72 divisors (see below), whose sum is σ = 210930720. Its totient is φ = 20466432.

The previous prime is 72323213. The next prime is 72323249. The reversal of 72323244 is 44232327.

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

It is not an unprimeable number, because it can be changed into a prime (72323249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26152 + ... + 28784.

Almost surely, 272323244 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 72323244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105465360).

72323244 is an abundant number, since it is smaller than the sum of its proper divisors (138607476).

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

72323244 is a wasteful number, since it uses less digits than its factorization.

72323244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2754 counting only the distinct ones).

The product of its digits is 8064, while the sum is 27.

The square root of 72323244 is about 8504.3073792050. The cubic root of 72323244 is about 416.6384043408.

The spelling of 72323244 in words is "seventy-two million, three hundred twenty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 109 126 218 252 327 436 654 763 981 1308 1526 1962 2289 2633 3052 3924 4578 5266 6867 7899 9156 10532 13734 15798 18431 23697 27468 31596 36862 47394 55293 73724 94788 110586 165879 221172 286997 331758 573994 663516 860991 1147988 1721982 2008979 2582973 3443964 4017958 5165946 6026937 8035916 10331892 12053874 18080811 24107748 36161622 72323244