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720225 = 33521197
BaseRepresentation
bin10101111110101100001
31100120222000
42233311201
5141021400
623234213
76056532
oct2576541
91316860
10720225
11452130
122a8969
131c2a8c
1414a689
15e3600
hexafd61

720225 has 48 divisors (see below), whose sum is σ = 1458240. Its totient is φ = 345600.

The previous prime is 720221. The next prime is 720229. The reversal of 720225 is 522027.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (720221) and next prime (720229).

It is not a de Polignac number, because 720225 - 22 = 720221 is a prime.

720225 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 720198 and 720207.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 720225.

It is not an unprimeable number, because it can be changed into a prime (720221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7377 + ... + 7473.

It is an arithmetic number, because the mean of its divisors is an integer number (30380).

2720225 is an apocalyptic number.

720225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

720225 is an abundant number, since it is smaller than the sum of its proper divisors (738015).

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

720225 is a wasteful number, since it uses less digits than its factorization.

720225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

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

The square root of 720225 is about 848.6607095889. The cubic root of 720225 is about 89.6374302187.

It can be divided in two parts, 72022 and 5, that added together give a palindrome (72027).

The spelling of 720225 in words is "seven hundred twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 97 99 135 165 225 275 291 297 485 495 675 825 873 1067 1455 1485 2425 2475 2619 3201 4365 5335 7275 7425 9603 13095 16005 21825 26675 28809 48015 65475 80025 144045 240075 720225