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72283660 = 22517297331
BaseRepresentation
bin1000100111011…
…11011000001100
312001000101112121
410103233120030
5122001034120
611101142324
71535254351
oct423573014
9161011477
1072283660
1137890869
122025a9a4
1311c8b0c7
149858628
15652c5aa
hex44ef60c

72283660 has 48 divisors (see below), whose sum is σ = 166289760. Its totient is φ = 26270720.

The previous prime is 72283639. The next prime is 72283663. The reversal of 72283660 is 6638227.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (72283663) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6195 + ... + 13525.

It is an arithmetic number, because the mean of its divisors is an integer number (3464370).

Almost surely, 272283660 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 72283660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83144880).

72283660 is an abundant number, since it is smaller than the sum of its proper divisors (94006100).

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

72283660 is a wasteful number, since it uses less digits than its factorization.

72283660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7386 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 72283660 is about 8501.9797694419. The cubic root of 72283660 is about 416.5623788777.

The spelling of 72283660 in words is "seventy-two million, two hundred eighty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 7331 9860 14662 29324 36655 73310 124627 146620 212599 249254 425198 498508 623135 850396 1062995 1246270 2125990 2492540 3614183 4251980 7228366 14456732 18070915 36141830 72283660