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72153025700 = 22527787130973
BaseRepresentation
bin100001100110010100…
…1111100110010100100
320220020110122110220012
41003030221330302210
52140232133310300
653051401425352
75133006412340
oct1031451746244
9226213573805
1072153025700
1128666558158
1211b97a9b258
136a5b50cb62
1436c6946620
151d2464e435
hex10cca7cca4

72153025700 has 72 divisors (see below), whose sum is σ = 179168240832. Its totient is φ = 24706558080.

The previous prime is 72153025697. The next prime is 72153025723. The reversal of 72153025700 is 752035127.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485414 + ... + 616386.

Almost surely, 272153025700 is an apocalyptic number.

72153025700 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72153025700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89584120416).

72153025700 is an abundant number, since it is smaller than the sum of its proper divisors (107015215132).

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

72153025700 is a wasteful number, since it uses less digits than its factorization.

72153025700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131781 (or 131774 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The spelling of 72153025700 in words is "seventy-two billion, one hundred fifty-three million, twenty-five thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 787 1574 3148 3935 5509 7870 11018 15740 19675 22036 27545 39350 55090 78700 110180 130973 137725 261946 275450 523892 550900 654865 916811 1309730 1833622 2619460 3274325 3667244 4584055 6548650 9168110 13097300 18336220 22920275 45840550 91681100 103075751 206151502 412303004 515378755 721530257 1030757510 1443060514 2061515020 2576893775 2886121028 3607651285 5153787550 7215302570 10307575100 14430605140 18038256425 36076512850 72153025700