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72214344 = 23321377321
BaseRepresentation
bin1000100110111…
…10011101001000
312000212212110100
410103132131020
5121441324334
611055445400
71534545306
oct423363510
9160785410
1072214344
1137843784
1220226860
1311c656a7
14983b276
156516c99
hex44de748

72214344 has 48 divisors (see below), whose sum is σ = 197035020. Its totient is φ = 23892480.

The previous prime is 72214327. The next prime is 72214361. The reversal of 72214344 is 44341227.

72214344 is a `hidden beast` number, since 7 + 221 + 434 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (72214327) and next prime (72214361).

It can be written as a sum of positive squares in 2 ways, for example, as 64160100 + 8054244 = 8010^2 + 2838^2 .

It is a super-2 number, since 2×722143442 = 10429822958700672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6204 + ... + 13524.

Almost surely, 272214344 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 72214344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98517510).

72214344 is an abundant number, since it is smaller than the sum of its proper divisors (124820676).

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

72214344 is a wasteful number, since it uses less digits than its factorization.

72214344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7470 (or 7463 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 72214344 is about 8497.9023293987. The cubic root of 72214344 is about 416.4291829270.

The spelling of 72214344 in words is "seventy-two million, two hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 3288 4932 7321 9864 14642 21963 29284 43926 58568 65889 87852 131778 175704 263556 527112 1002977 2005954 3008931 4011908 6017862 8023816 9026793 12035724 18053586 24071448 36107172 72214344