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72150050 = 25274601
BaseRepresentation
bin1000100110011…
…10110000100010
312000202121021002
410103032300202
5121432300200
611054232002
71534160000
oct423166042
9160677232
1072150050
11377aa445
12201b5602
1311c4234b
149821a70
156502bd5
hex44cec22

72150050 has 60 divisors (see below), whose sum is σ = 156816786. Its totient is φ = 24696000.

The previous prime is 72150047. The next prime is 72150053. The reversal of 72150050 is 5005127.

It is an interprime number because it is at equal distance from previous prime (72150047) and next prime (72150053).

It can be written as a sum of positive squares in 3 ways, for example, as 63792169 + 8357881 = 7987^2 + 2891^2 .

It is not an unprimeable number, because it can be changed into a prime (72150053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 119750 + ... + 120350.

Almost surely, 272150050 is an apocalyptic number.

72150050 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72150050 is an abundant number, since it is smaller than the sum of its proper divisors (84666736).

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

72150050 is an equidigital number, since it uses as much as digits as its factorization.

72150050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 72150050 is about 8494.1185534463. The cubic root of 72150050 is about 416.3055609145.

Adding to 72150050 its reverse (5005127), we get a palindrome (77155177).

The spelling of 72150050 in words is "seventy-two million, one hundred fifty thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 343 350 490 601 686 1202 1225 1715 2401 2450 3005 3430 4207 4802 6010 8414 8575 12005 15025 17150 21035 24010 29449 30050 42070 58898 60025 105175 120050 147245 206143 210350 294490 412286 736225 1030715 1443001 1472450 2061430 2886002 5153575 7215005 10307150 14430010 36075025 72150050