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72223788 = 22371319592
BaseRepresentation
bin1000100111000…
…00110000101100
312000220100102010
410103200300230
5121442130123
611100001220
71534614660
oct423406054
9160810363
1072223788
113784a88a
1220230210
1311c69a90
1498408a0
156519993
hex44e0c2c

72223788 has 144 divisors (see below), whose sum is σ = 222091520. Its totient is φ = 17739648.

The previous prime is 72223783. The next prime is 72223799. The reversal of 72223788 is 88732227.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (72223783) 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, 1224103 + ... + 1224161.

Almost surely, 272223788 is an apocalyptic number.

72223788 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72223788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111045760).

72223788 is an abundant number, since it is smaller than the sum of its proper divisors (149867732).

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

72223788 is a wasteful number, since it uses less digits than its factorization.

72223788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 103 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 72223788 is about 8498.4579777746. The cubic root of 72223788 is about 416.4473353030.

The spelling of 72223788 in words is "seventy-two million, two hundred twenty-three thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 59 76 78 84 91 114 118 133 156 177 182 228 236 247 266 273 354 364 399 413 494 532 546 708 741 767 798 826 988 1092 1121 1239 1482 1534 1596 1652 1729 2242 2301 2478 2964 3068 3363 3458 3481 4484 4602 4956 5187 5369 6726 6916 6962 7847 9204 10374 10443 10738 13452 13924 14573 15694 16107 20748 20886 21476 23541 24367 29146 31388 32214 41772 43719 45253 47082 48734 58292 64428 66139 73101 87438 90506 94164 97468 102011 132278 135759 146202 174876 181012 198417 204022 264556 271518 292404 306033 316771 396834 408044 462973 543036 612066 633542 793668 859807 925946 950313 1224132 1267084 1388919 1719614 1851892 1900626 2579421 2777838 3439228 3801252 5158842 5555676 6018649 10317684 12037298 18055947 24074596 36111894 72223788