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72214440 = 23351921667
BaseRepresentation
bin1000100110111…
…10011110101000
312000212212120220
410103132132220
5121441330230
611055450040
71534545504
oct423363650
9160785526
1072214440
1137843861
1220226920
1311c6574c
14983b304
156516d10
hex44de7a8

72214440 has 96 divisors (see below), whose sum is σ = 228782880. Its totient is φ = 18232704.

The previous prime is 72214403. The next prime is 72214451. The reversal of 72214440 is 4441227.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72214440.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42487 + ... + 44153.

It is an arithmetic number, because the mean of its divisors is an integer number (2383155).

Almost surely, 272214440 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 72214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114391440).

72214440 is an abundant number, since it is smaller than the sum of its proper divisors (156568440).

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

72214440 is a wasteful number, since it uses less digits than its factorization.

72214440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 72214440 is about 8497.9079778496. The cubic root of 72214440 is about 416.4293674572.

Adding to 72214440 its reverse (4441227), we get a palindrome (76655667).

The spelling of 72214440 in words is "seventy-two million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 361 380 456 570 722 760 1083 1140 1444 1667 1805 2166 2280 2888 3334 3610 4332 5001 5415 6668 7220 8335 8664 10002 10830 13336 14440 16670 20004 21660 25005 31673 33340 40008 43320 50010 63346 66680 95019 100020 126692 158365 190038 200040 253384 316730 380076 475095 601787 633460 760152 950190 1203574 1266920 1805361 1900380 2407148 3008935 3610722 3800760 4814296 6017870 7221444 9026805 12035740 14442888 18053610 24071480 36107220 72214440