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72223660 = 22543137613
BaseRepresentation
bin1000100111000…
…00101110101100
312000220100020101
410103200232230
5121442124120
611100000444
71534614415
oct423405654
9160810211
1072223660
113784a783
1220230124
1311c699c2
14984080c
15651990a
hex44e0bac

72223660 has 48 divisors (see below), whose sum is σ = 156584736. Its totient is φ = 27965952.

The previous prime is 72223651. The next prime is 72223661. The reversal of 72223660 is 6632227.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (72223661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117514 + ... + 118126.

It is an arithmetic number, because the mean of its divisors is an integer number (3262182).

Almost surely, 272223660 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 72223660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78292368).

72223660 is an abundant number, since it is smaller than the sum of its proper divisors (84361076).

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

72223660 is a wasteful number, since it uses less digits than its factorization.

72223660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 72223660 is about 8498.4504469933. The cubic root of 72223660 is about 416.4470892840.

Adding to 72223660 its reverse (6632227), we get a palindrome (78855887).

The spelling of 72223660 in words is "seventy-two million, two hundred twenty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 43 86 137 172 215 274 430 548 613 685 860 1226 1370 2452 2740 3065 5891 6130 11782 12260 23564 26359 29455 52718 58910 83981 105436 117820 131795 167962 263590 335924 419905 527180 839810 1679620 3611183 7222366 14444732 18055915 36111830 72223660