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72276020000 = 255419012
BaseRepresentation
bin100001101001111111…
…1001000101100100000
320220120001002020100122
41003103333020230200
52141010130120000
653111513535412
75136032014322
oct1032377105440
9226501066318
1072276020000
1128719a24638
1212011114568
136a7ab44952
1436d9001612
151d30347085
hex10d3fc8b20

72276020000 has 90 divisors (see below), whose sum is σ = 177903434709. Its totient is φ = 28895200000.

The previous prime is 72276019993. The next prime is 72276020009. The reversal of 72276020000 is 2067227.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 35474969104 + 36801050896 = 188348^2 + 191836^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=190100.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72276020009) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 38019050 + ... + 38020950.

Almost surely, 272276020000 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 72276020000

72276020000 is an abundant number, since it is smaller than the sum of its proper divisors (105627414709).

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

72276020000 is an frugal number, since it uses more digits than its factorization.

72276020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

Adding to 72276020000 its reverse (2067227), we get a palindrome (72278087227).

The spelling of 72276020000 in words is "seventy-two billion, two hundred seventy-six million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1901 2000 2500 3802 4000 5000 7604 9505 10000 15208 19010 20000 30416 38020 47525 60832 76040 95050 152080 190100 237625 304160 380200 475250 760400 950500 1188125 1520800 1901000 2376250 3613801 3802000 4752500 7227602 7604000 9505000 14455204 18069005 19010000 28910408 36138010 38020000 57820816 72276020 90345025 115641632 144552040 180690050 289104080 361380100 451725125 578208160 722760200 903450250 1445520400 1806900500 2258625625 2891040800 3613801000 4517251250 7227602000 9034502500 14455204000 18069005000 36138010000 72276020000