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72243136 = 26747273
BaseRepresentation
bin1000100111001…
…01011111000000
312000221022221201
410103211133000
5121443240021
611100230544
71535025250
oct423453700
9160838851
1072243136
1137863379
122023b454
1311c75824
149847960
156520591
hex44e57c0

72243136 has 84 divisors (see below), whose sum is σ = 169690288. Its totient is φ = 29887488.

The previous prime is 72243131. The next prime is 72243137. The reversal of 72243136 is 63134227.

It is a super-2 number, since 2×722431362 = 10438141398228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72243131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 989596 + ... + 989668.

Almost surely, 272243136 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 72243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84845144).

72243136 is an abundant number, since it is smaller than the sum of its proper divisors (97447152).

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

72243136 is an equidigital number, since it uses as much as digits as its factorization.

72243136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 129 counting only the distinct ones).

The product of its digits is 6048, while the sum is 28.

The square root of 72243136 is about 8499.5962257039. The cubic root of 72243136 is about 416.4845192830.

The spelling of 72243136 in words is "seventy-two million, two hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 73 94 112 146 188 224 292 329 376 448 511 584 658 752 1022 1168 1316 1504 2044 2209 2336 2632 3008 3431 4088 4418 4672 5264 6862 8176 8836 10528 13724 15463 16352 17672 21056 24017 27448 30926 32704 35344 48034 54896 61852 70688 96068 109792 123704 141376 161257 192136 219584 247408 322514 384272 494816 645028 768544 989632 1128799 1290056 1537088 2257598 2580112 4515196 5160224 9030392 10320448 18060784 36121568 72243136