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72235333404 = 223213659234217
BaseRepresentation
bin100001101000110001…
…1111011011100011100
320220110012112010211200
41003101203323130130
52140414221132104
653103501515500
75135026126443
oct1032143733434
9226405463750
1072235333404
11286a8a65153
1211bbb572b90
136a7259a740
1436d384dd5a
151d2b9abb39
hex10d18fb71c

72235333404 has 72 divisors (see below), whose sum is σ = 196939863120. Its totient is φ = 22192434432.

The previous prime is 72235333393. The next prime is 72235333409. The reversal of 72235333404 is 40433353227.

72235333404 is a `hidden beast` number, since 72 + 23 + 533 + 34 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72235333409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191304 + ... + 425520.

Almost surely, 272235333404 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 72235333404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98469931560).

72235333404 is an abundant number, since it is smaller than the sum of its proper divisors (124704529716).

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

72235333404 is a wasteful number, since it uses less digits than its factorization.

72235333404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234899 (or 234894 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 36.

The spelling of 72235333404 in words is "seventy-two billion, two hundred thirty-five million, three hundred thirty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 659 1318 1977 2636 3954 5931 7908 8567 11862 17134 23724 25701 34268 51402 77103 102804 154206 234217 308412 468434 702651 936868 1405302 2107953 2810604 3044821 4215906 6089642 8431812 9134463 12179284 18268926 27403389 36537852 54806778 109613556 154349003 308698006 463047009 617396012 926094018 1389141027 1852188036 2006537039 2778282054 4013074078 5556564108 6019611117 8026148156 12039222234 18058833351 24078444468 36117666702 72235333404