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72341248 = 28727379
BaseRepresentation
bin1000100111111…
…01011100000000
312001010022112111
410103331130000
5122004404443
611102305104
71535614300
oct423753400
9161108474
1072341248
1137920061
1220288194
1311cab395
149871600
15653e69d
hex44fd700

72341248 has 108 divisors (see below), whose sum is σ = 172431840. Its totient is φ = 30191616.

The previous prime is 72341221. The next prime is 72341249. The reversal of 72341248 is 84214327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72341249) 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, 915673 + ... + 915751.

Almost surely, 272341248 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 72341248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86215920).

72341248 is an abundant number, since it is smaller than the sum of its proper divisors (100090592).

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

72341248 is an equidigital number, since it uses as much as digits as its factorization.

72341248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 72341248 is about 8505.3658357533. The cubic root of 72341248 is about 416.6729738423.

The spelling of 72341248 in words is "seventy-two million, three hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 73 79 98 112 128 146 158 196 224 256 292 316 392 448 511 553 584 632 784 896 1022 1106 1168 1264 1568 1792 2044 2212 2336 2528 3136 3577 3871 4088 4424 4672 5056 5767 6272 7154 7742 8176 8848 9344 10112 11534 12544 14308 15484 16352 17696 18688 20224 23068 28616 30968 32704 35392 40369 46136 57232 61936 65408 70784 80738 92272 114464 123872 130816 141568 161476 184544 228928 247744 282583 322952 369088 457856 495488 565166 645904 738176 915712 990976 1130332 1291808 1476352 2260664 2583616 4521328 5167232 9042656 10334464 18085312 36170624 72341248