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72223960 = 2354147937
BaseRepresentation
bin1000100111000…
…00110011011000
312000220100122111
410103200303120
5121442131320
611100002104
71534615324
oct423406330
9160810574
1072223960
113784aa26
1220230334
1311c69b93
149840984
156519a5a
hex44e0cd8

72223960 has 64 divisors (see below), whose sum is σ = 170190720. Its totient is φ = 27555840.

The previous prime is 72223903. The next prime is 72223999. The reversal of 72223960 is 6932227.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76612 + ... + 77548.

It is an arithmetic number, because the mean of its divisors is an integer number (2659230).

Almost surely, 272223960 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 72223960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85095360).

72223960 is an abundant number, since it is smaller than the sum of its proper divisors (97966760).

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

72223960 is a wasteful number, since it uses less digits than its factorization.

72223960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 72223960 is about 8498.4680972514. The cubic root of 72223960 is about 416.4476658907.

The spelling of 72223960 in words is "seventy-two million, two hundred twenty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 47 82 94 164 188 205 235 328 376 410 470 820 937 940 1640 1874 1880 1927 3748 3854 4685 7496 7708 9370 9635 15416 18740 19270 37480 38417 38540 44039 76834 77080 88078 153668 176156 192085 220195 307336 352312 384170 440390 768340 880780 1536680 1761560 1805599 3611198 7222396 9027995 14444792 18055990 36111980 72223960