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72239300 = 22527313329
BaseRepresentation
bin1000100111001…
…00100011000100
312000221010200122
410103210203010
5121443124200
611100201112
71535011130
oct423444304
9160833618
1072239300
1137860501
1220239198
1311c73b63
1498463c0
15651e385
hex44e48c4

72239300 has 72 divisors (see below), whose sum is σ = 184988160. Its totient is φ = 23961600.

The previous prime is 72239291. The next prime is 72239303. The reversal of 72239300 is 393227.

It is a self number, because there is not a number n which added to its sum of digits gives 72239300.

It is not an unprimeable number, because it can be changed into a prime (72239303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20036 + ... + 23364.

It is an arithmetic number, because the mean of its divisors is an integer number (2569280).

Almost surely, 272239300 is an apocalyptic number.

72239300 is a gapful number since it is divisible by the number (70) 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 72239300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92494080).

72239300 is an abundant number, since it is smaller than the sum of its proper divisors (112748860).

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

72239300 is a wasteful number, since it uses less digits than its factorization.

72239300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 72239300 is about 8499.3705649301. The cubic root of 72239300 is about 416.4771475889.

The spelling of 72239300 in words is "seventy-two million, two hundred thirty-nine thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 868 1085 1550 2170 3100 3329 4340 5425 6658 10850 13316 16645 21700 23303 33290 46606 66580 83225 93212 103199 116515 166450 206398 233030 332900 412796 466060 515995 582575 722393 1031990 1165150 1444786 2063980 2330300 2579975 2889572 3611965 5159950 7223930 10319900 14447860 18059825 36119650 72239300