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72243336560 = 24510114836029
BaseRepresentation
bin100001101001000001…
…0011101010101110000
320220110202120202002212
41003102002131111300
52140423243232220
653104345231252
75135154141323
oct1032202352560
9226422522085
1072243336560
112870253102a
1212002192528
136a74140435
1436d49347ba
151d2c53d0c5
hex10d209d570

72243336560 has 80 divisors (see below), whose sum is σ = 169771321440. Its totient is φ = 28587187200.

The previous prime is 72243336547. The next prime is 72243336563. The reversal of 72243336560 is 6563334227.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72243336563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11979626 + ... + 11985654.

It is an arithmetic number, because the mean of its divisors is an integer number (2122141518).

Almost surely, 272243336560 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 72243336560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84885660720).

72243336560 is an abundant number, since it is smaller than the sum of its proper divisors (97527984880).

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

72243336560 is a wasteful number, since it uses less digits than its factorization.

72243336560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 41.

The spelling of 72243336560 in words is "seventy-two billion, two hundred forty-three million, three hundred thirty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1483 1616 2020 2966 4040 5932 6029 7415 8080 11864 12058 14830 23728 24116 29660 30145 48232 59320 60290 96464 118640 120580 149783 241160 299566 482320 599132 608929 748915 1198264 1217858 1497830 2396528 2435716 2995660 3044645 4871432 5991320 6089290 8941007 9742864 11982640 12178580 17882014 24357160 35764028 44705035 48714320 71528056 89410070 143056112 178820140 357640280 715280560 903041707 1806083414 3612166828 4515208535 7224333656 9030417070 14448667312 18060834140 36121668280 72243336560