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72073320 = 23351154601
BaseRepresentation
bin1000100101111…
…00000001101000
312000121201000020
410102330001220
5121422321240
611052440440
71533420204
oct422740150
9160551006
1072073320
1137757830
1220179120
1311c16447
149801b04
1564da0d0
hex44bc068

72073320 has 64 divisors (see below), whose sum is σ = 235880640. Its totient is φ = 17472000.

The previous prime is 72073303. The next prime is 72073349. The reversal of 72073320 is 2337027.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25981 + ... + 28620.

It is an arithmetic number, because the mean of its divisors is an integer number (3685635).

Almost surely, 272073320 is an apocalyptic number.

It is an amenable number.

72073320 is an abundant number, since it is smaller than the sum of its proper divisors (163807320).

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

72073320 is a wasteful number, since it uses less digits than its factorization.

72073320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54626 (or 54622 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 72073320 is about 8489.6006973238. The cubic root of 72073320 is about 416.1579312825.

The spelling of 72073320 in words is "seventy-two million, seventy-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 54601 109202 163803 218404 273005 327606 436808 546010 600611 655212 819015 1092020 1201222 1310424 1638030 1801833 2184040 2402444 3003055 3276060 3603666 4804888 6006110 6552120 7207332 9009165 12012220 14414664 18018330 24024440 36036660 72073320