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72234428 = 22731719163
BaseRepresentation
bin1000100111000…
…11010110111100
312000220220000012
410103203112330
5121443000203
611100122352
71534661000
oct423432674
9160826005
1072234428
1137857882
12202363b8
1311c71886
149844700
15651cbd8
hex44e35bc

72234428 has 96 divisors (see below), whose sum is σ = 165312000. Its totient is φ = 27433728.

The previous prime is 72234419. The next prime is 72234443. The reversal of 72234428 is 82443227.

Its product of digits (21504) is a multiple of the sum of its prime factors (224).

It is a junction number, because it is equal to n+sod(n) for n = 72234394 and 72234403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443075 + ... + 443237.

It is an arithmetic number, because the mean of its divisors is an integer number (1722000).

Almost surely, 272234428 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 72234428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82656000).

72234428 is an abundant number, since it is smaller than the sum of its proper divisors (93077572).

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

72234428 is a wasteful number, since it uses less digits than its factorization.

72234428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its digits is 21504, while the sum is 32.

The square root of 72234428 is about 8499.0839506384. The cubic root of 72234428 is about 416.4677846231.

The spelling of 72234428 in words is "seventy-two million, two hundred thirty-four thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 17 19 28 34 38 49 68 76 98 119 133 163 196 238 266 323 326 343 476 532 646 652 686 833 931 1141 1292 1372 1666 1862 2261 2282 2771 3097 3332 3724 4522 4564 5542 5831 6194 6517 7987 9044 11084 11662 12388 13034 15827 15974 19397 21679 23324 26068 31654 31948 38794 43358 52649 55909 63308 77588 86716 105298 110789 111818 135779 151753 210596 221578 223636 271558 303506 368543 443156 543116 607012 737086 950453 1062271 1474172 1900906 2124542 2579801 3801812 4249084 5159602 10319204 18058607 36117214 72234428