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72226836 = 22331125527
BaseRepresentation
bin1000100111000…
…01100000010100
312000220111121000
410103201200110
5121442224321
611100023300
71534626603
oct423414024
9160814530
1072226836
1137852100
1220231b30
1311c6b296
149841a3a
15651a826
hex44e1814

72226836 has 72 divisors (see below), whose sum is σ = 205862720. Its totient is φ = 21882960.

The previous prime is 72226741. The next prime is 72226837. The reversal of 72226836 is 63862227.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72226836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72226837) 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, 10305 + ... + 15831.

Almost surely, 272226836 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 72226836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102931360).

72226836 is an abundant number, since it is smaller than the sum of its proper divisors (133635884).

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

72226836 is a wasteful number, since it uses less digits than its factorization.

72226836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5562 (or 5543 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 72226836 is about 8498.6373025327. The cubic root of 72226836 is about 416.4531935466.

The spelling of 72226836 in words is "seventy-two million, two hundred twenty-six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 5527 6534 11054 13068 16581 22108 33162 49743 60797 66324 99486 121594 149229 182391 198972 243188 298458 364782 547173 596916 668767 729564 1094346 1337534 1641519 2006301 2188692 2675068 3283038 4012602 6018903 6566076 8025204 12037806 18056709 24075612 36113418 72226836