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72455130 = 232511163449
BaseRepresentation
bin1000101000110…
…01001111011010
312001100002202100
410110121033122
5122022031010
611104544230
71536600306
oct424311732
9161302670
1072455130
1137998680
1220322076
131201b177
1498a0d06
1565632c0
hex45193da

72455130 has 96 divisors (see below), whose sum is σ = 207230400. Its totient is φ = 17418240.

The previous prime is 72455111. The next prime is 72455147. The reversal of 72455130 is 3155427.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72455094 and 72455103.

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 47 ways as a sum of consecutive naturals, for example, 161146 + ... + 161594.

It is an arithmetic number, because the mean of its divisors is an integer number (2158650).

Almost surely, 272455130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72455130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103615200).

72455130 is an abundant number, since it is smaller than the sum of its proper divisors (134775270).

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

72455130 is a wasteful number, since it uses less digits than its factorization.

72455130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 72455130 is about 8512.0579180360. The cubic root of 72455130 is about 416.8915060294.

The spelling of 72455130 in words is "seventy-two million, four hundred fifty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 163 165 198 326 330 449 489 495 815 898 978 990 1347 1467 1630 1793 2245 2445 2694 2934 3586 4041 4490 4890 4939 5379 6735 7335 8082 8965 9878 10758 13470 14670 14817 16137 17930 20205 24695 26895 29634 32274 40410 44451 49390 53790 73187 74085 80685 88902 146374 148170 161370 219561 222255 365935 439122 444510 658683 731870 805057 1097805 1317366 1610114 2195610 2415171 3293415 4025285 4830342 6586830 7245513 8050570 12075855 14491026 24151710 36227565 72455130