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72333044480 = 285181312211
BaseRepresentation
bin100001101011101100…
…0101010101100000000
320220201000101101020102
41003113120222230000
52141114224410410
653121312101532
75140323506414
oct1032730525400
9226630341212
1072333044480
1128749132a04
12120282348a8
136a898bc448
143702806d44
151d3535d2a5
hex10d762ab00

72333044480 has 72 divisors (see below), whose sum is σ = 174218042544. Its totient is φ = 28773273600.

The previous prime is 72333044461. The next prime is 72333044489. The reversal of 72333044480 is 8444033327.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72333044489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75575 + ... + 387785.

Almost surely, 272333044480 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 72333044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87109021272).

72333044480 is an abundant number, since it is smaller than the sum of its proper divisors (101884998064).

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

72333044480 is a wasteful number, since it uses less digits than its factorization.

72333044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312413 (or 312399 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 38.

The spelling of 72333044480 in words is "seventy-two billion, three hundred thirty-three million, forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 181 256 320 362 640 724 905 1280 1448 1810 2896 3620 5792 7240 11584 14480 23168 28960 46336 57920 115840 231680 312211 624422 1248844 1561055 2497688 3122110 4995376 6244220 9990752 12488440 19981504 24976880 39963008 49953760 56510191 79926016 99907520 113020382 199815040 226040764 282550955 399630080 452081528 565101910 904163056 1130203820 1808326112 2260407640 3616652224 4520815280 7233304448 9041630560 14466608896 18083261120 36166522240 72333044480