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72345487608 = 233741100853
BaseRepresentation
bin100001101100000100…
…0001000100011111000
320220201212210120000000
41003120020020203320
52141130421100413
653122434513000
75140534332642
oct1033010104370
9226655716000
1072345487608
1128755161689
1212030435760
136a8c358044
143704325892
151d364ba073
hex10d82088f8

72345487608 has 128 divisors (see below), whose sum is σ = 208404705600. Its totient is φ = 23526754560.

The previous prime is 72345487549. The next prime is 72345487633. The reversal of 72345487608 is 80678454327.

72345487608 is a `hidden beast` number, since 7 + 2 + 34 + 548 + 7 + 60 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666910 + ... + 767762.

Almost surely, 272345487608 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 72345487608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104202352800).

72345487608 is an abundant number, since it is smaller than the sum of its proper divisors (136059217992).

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

72345487608 is a wasteful number, since it uses less digits than its factorization.

72345487608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100921 (or 100899 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 72345487608 in words is "seventy-two billion, three hundred forty-five million, four hundred eighty-seven thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 243 246 324 328 369 486 492 648 729 738 972 984 1107 1458 1476 1944 2187 2214 2916 2952 3321 4374 4428 5832 6642 8748 8856 9963 13284 17496 19926 26568 29889 39852 59778 79704 89667 100853 119556 179334 201706 239112 302559 358668 403412 605118 717336 806824 907677 1210236 1815354 2420472 2723031 3630708 4134973 5446062 7261416 8169093 8269946 10892124 12404919 16338186 16539892 21784248 24507279 24809838 32676372 33079784 37214757 49014558 49619676 65352744 73521837 74429514 98029116 99239352 111644271 147043674 148859028 196058232 220565511 223288542 294087348 297718056 334932813 441131022 446577084 588174696 669865626 882262044 893154168 1004798439 1339731252 1764524088 2009596878 2679462504 3014395317 4019193756 6028790634 8038387512 9043185951 12057581268 18086371902 24115162536 36172743804 72345487608