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72232290 = 23351321583
BaseRepresentation
bin1000100111000…
…10110101100010
312000220210002000
410103202311202
5121442413130
611100104430
71534651524
oct423426542
9160823060
1072232290
1137856209
1220235116
1311c70900
149843a14
15651c260
hex44e2d62

72232290 has 96 divisors (see below), whose sum is σ = 208707840. Its totient is φ = 17769024.

The previous prime is 72232289. The next prime is 72232333. The reversal of 72232290 is 9223227.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44839 + ... + 46421.

It is an arithmetic number, because the mean of its divisors is an integer number (2174040).

Almost surely, 272232290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72232290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104353920).

72232290 is an abundant number, since it is smaller than the sum of its proper divisors (136475550).

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

72232290 is a wasteful number, since it uses less digits than its factorization.

72232290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 72232290 is about 8498.9581714467. The cubic root of 72232290 is about 416.4636757010.

The spelling of 72232290 in words is "seventy-two million, two hundred thirty-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 169 195 234 270 338 351 390 507 585 702 845 1014 1170 1521 1583 1690 1755 2535 3042 3166 3510 4563 4749 5070 7605 7915 9126 9498 14247 15210 15830 20579 22815 23745 28494 41158 42741 45630 47490 61737 71235 85482 102895 123474 142470 185211 205790 213705 267527 308685 370422 427410 535054 555633 617370 802581 926055 1111266 1337635 1605162 1852110 2407743 2675270 2778165 4012905 4815486 5556330 7223229 8025810 12038715 14446458 24077430 36116145 72232290