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72238420 = 22529592111
BaseRepresentation
bin1000100111001…
…00010101010100
312000221002111001
410103210111110
5121443112140
611100153044
71535005432
oct423442524
9160832431
1072238420
113785a881
1220238784
1311c73637
149845d52
15651de9a
hex44e4554

72238420 has 48 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 27413120.

The previous prime is 72238381. The next prime is 72238421. The reversal of 72238420 is 2483227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72238421) by changing a digit.

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, 33165 + ... + 35275.

It is an arithmetic number, because the mean of its divisors is an integer number (3326400).

Almost surely, 272238420 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 72238420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

72238420 is an abundant number, since it is smaller than the sum of its proper divisors (87428780).

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

72238420 is a wasteful number, since it uses less digits than its factorization.

72238420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 72238420 is about 8499.3187962330. The cubic root of 72238420 is about 416.4754564440.

The spelling of 72238420 in words is "seventy-two million, two hundred thirty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 59 116 118 145 236 290 295 580 590 1180 1711 2111 3422 4222 6844 8444 8555 10555 17110 21110 34220 42220 61219 122438 124549 244876 249098 306095 498196 612190 622745 1224380 1245490 2490980 3611921 7223842 14447684 18059605 36119210 72238420