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72273240 = 233251315443
BaseRepresentation
bin1000100111011…
…00110101011000
312000222212020200
410103230311120
5122000220430
611101022200
71535212104
oct423546530
9160885220
1072273240
1137883a56
1220254960
1311c86440
149854904
156529460
hex44ecd58

72273240 has 96 divisors (see below), whose sum is σ = 252972720. Its totient is φ = 17789184.

The previous prime is 72273233. The next prime is 72273259. The reversal of 72273240 is 4237227.

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 23 ways as a sum of consecutive naturals, for example, 3042 + ... + 12401.

Almost surely, 272273240 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 72273240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126486360).

72273240 is an abundant number, since it is smaller than the sum of its proper divisors (180699480).

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

72273240 is a wasteful number, since it uses less digits than its factorization.

72273240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15473 (or 15466 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 72273240 is about 8501.3669489089. The cubic root of 72273240 is about 416.5423614972.

The spelling of 72273240 in words is "seventy-two million, two hundred seventy-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 15443 30886 46329 61772 77215 92658 123544 138987 154430 185316 200759 231645 277974 308860 370632 401518 463290 555948 602277 617720 694935 803036 926580 1003795 1111896 1204554 1389870 1606072 1806831 1853160 2007590 2409108 2779740 3011385 3613662 4015180 4818216 5559480 6022770 7227324 8030360 9034155 12045540 14454648 18068310 24091080 36136620 72273240