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72073050 = 2352783827
BaseRepresentation
bin1000100101110…
…11111101011010
312000121200122020
410102323331122
5121422314200
611052435310
71533416340
oct422737532
9160550566
1072073050
1137757605
1220178b36
1311c1629a
149801990
1564d9ea0
hex44bbf5a

72073050 has 96 divisors (see below), whose sum is σ = 206986752. Its totient is φ = 16255680.

The previous prime is 72073021. The next prime is 72073051. The reversal of 72073050 is 5037027.

It is a self number, because there is not a number n which added to its sum of digits gives 72073050.

It is not an unprimeable number, because it can be changed into a prime (72073051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86737 + ... + 87563.

It is an arithmetic number, because the mean of its divisors is an integer number (2156112).

Almost surely, 272073050 is an apocalyptic number.

72073050 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72073050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103493376).

72073050 is an abundant number, since it is smaller than the sum of its proper divisors (134913702).

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

72073050 is a wasteful number, since it uses less digits than its factorization.

72073050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 72073050 is about 8489.5847955009. The cubic root of 72073050 is about 416.1574116137.

The spelling of 72073050 in words is "seventy-two million, seventy-three thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 83 105 150 166 175 210 249 350 415 498 525 581 827 830 1050 1162 1245 1654 1743 2075 2481 2490 2905 3486 4135 4150 4962 5789 5810 6225 8270 8715 11578 12405 12450 14525 17367 17430 20675 24810 28945 29050 34734 41350 43575 57890 62025 68641 86835 87150 124050 137282 144725 173670 205923 289450 343205 411846 434175 480487 686410 868350 960974 1029615 1441461 1716025 2059230 2402435 2882922 3432050 4804870 5148075 7207305 10296150 12012175 14414610 24024350 36036525 72073050