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72225 = 3352107
BaseRepresentation
bin10001101000100001
310200002000
4101220201
54302400
61314213
7420366
oct215041
9120060
1072225
114a29a
1235969
1326b4a
141c46d
1516600
hex11a21

72225 has 24 divisors (see below), whose sum is σ = 133920. Its totient is φ = 38160.

The previous prime is 72223. The next prime is 72227. The reversal of 72225 is 52227.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72223) and next prime (72227).

It is not a de Polignac number, because 72225 - 21 = 72223 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72198 and 72207.

It is not an unprimeable number, because it can be changed into a prime (72221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622 + ... + 728.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

272225 is an apocalyptic number.

72225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72225 is a deficient number, since it is larger than the sum of its proper divisors (61695).

72225 is a wasteful number, since it uses less digits than its factorization.

72225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 72225 is about 268.7470930075. The cubic root of 72225 is about 41.6449664782.

It can be divided in two parts, 7222 and 5, that added together give a palindrome (7227).

The spelling of 72225 in words is "seventy-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 107 135 225 321 535 675 963 1605 2675 2889 4815 8025 14445 24075 72225