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72144360 = 23325200401
BaseRepresentation
bin1000100110011…
…01010111101000
312000202022110100
410103031113220
5121432104420
611054145400
71534134261
oct423152750
9160668410
1072144360
11377a6142
12201b2260
1311c3c892
14981d968
156501190
hex44cd5e8

72144360 has 48 divisors (see below), whose sum is σ = 234470340. Its totient is φ = 19238400.

The previous prime is 72144343. The next prime is 72144361. The reversal of 72144360 is 6344127.

It can be written as a sum of positive squares in 2 ways, for example, as 70660836 + 1483524 = 8406^2 + 1218^2 .

It is not an unprimeable number, because it can be changed into a prime (72144361) by changing a digit.

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, 99841 + ... + 100560.

Almost surely, 272144360 is an apocalyptic number.

It is an amenable number.

72144360 is an abundant number, since it is smaller than the sum of its proper divisors (162325980).

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

72144360 is a wasteful number, since it uses less digits than its factorization.

72144360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200418 (or 200411 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72144360 is about 8493.7836092050. The cubic root of 72144360 is about 416.2946168661.

Adding to 72144360 its reverse (6344127), we get a palindrome (78488487).

The spelling of 72144360 in words is "seventy-two million, one hundred forty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 200401 400802 601203 801604 1002005 1202406 1603208 1803609 2004010 2404812 3006015 3607218 4008020 4809624 6012030 7214436 8016040 9018045 12024060 14428872 18036090 24048120 36072180 72144360