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72144523232 = 2547461104053
BaseRepresentation
bin100001100110000100…
…1100000111111100000
320220012212122111200222
41003030021200333200
52140222444220412
653050455302212
75132544220655
oct1031411407740
9226185574628
1072144523232
1128661780121
1211b9507a968
136a59823b02
1436c5771c2c
151d23a20072
hex10cc260fe0

72144523232 has 48 divisors (see below), whose sum is σ = 145372594752. Its totient is φ = 35227845120.

The previous prime is 72144523201. The next prime is 72144523277. The reversal of 72144523232 is 23232544127.

It is a junction number, because it is equal to n+sod(n) for n = 72144523192 and 72144523201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 641318 + ... + 745370.

It is an arithmetic number, because the mean of its divisors is an integer number (3028595724).

Almost surely, 272144523232 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 72144523232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72686297376).

72144523232 is an abundant number, since it is smaller than the sum of its proper divisors (73228071520).

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

72144523232 is a wasteful number, since it uses less digits than its factorization.

72144523232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104571 (or 104563 counting only the distinct ones).

The product of its digits is 80640, while the sum is 35.

The spelling of 72144523232 in words is "seventy-two billion, one hundred forty-four million, five hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 94 188 376 461 752 922 1504 1844 3688 7376 14752 21667 43334 86668 104053 173336 208106 346672 416212 693344 832424 1664848 3329696 4890491 9780982 19561964 39123928 47968433 78247856 95936866 156495712 191873732 383747464 767494928 1534989856 2254516351 4509032702 9018065404 18036130808 36072261616 72144523232