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75136272 = 2434173523
BaseRepresentation
bin1000111101001…
…11110100010000
312020101022120220
410132213310100
5123213330042
611242233040
71601435121
oct436476420
9166338526
1075136272
1139459aa2
12211b5780
1312749643
149d9c048
1568e28ec
hex47a7d10

75136272 has 80 divisors (see below), whose sum is σ = 201945408. Its totient is φ = 24053760.

The previous prime is 75136253. The next prime is 75136289. The reversal of 75136272 is 27263157.

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 15 ways as a sum of consecutive naturals, for example, 143403 + ... + 143925.

Almost surely, 275136272 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 75136272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100972704).

75136272 is an abundant number, since it is smaller than the sum of its proper divisors (126809136).

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

75136272 is a wasteful number, since it uses less digits than its factorization.

75136272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 642 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 75136272 is about 8668.1181348664. The cubic root of 75136272 is about 421.9715920171.

The spelling of 75136272 in words is "seventy-five million, one hundred thirty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 73 82 123 146 164 219 246 292 328 438 492 523 584 656 876 984 1046 1168 1569 1752 1968 2092 2993 3138 3504 4184 5986 6276 8368 8979 11972 12552 17958 21443 23944 25104 35916 38179 42886 47888 64329 71832 76358 85772 114537 128658 143664 152716 171544 229074 257316 305432 343088 458148 514632 610864 916296 1029264 1565339 1832592 3130678 4696017 6261356 9392034 12522712 18784068 25045424 37568136 75136272