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72265625 = 5937
BaseRepresentation
bin1000100111010…
…10111110011001
312000222110210122
410103222332121
5122000000000
611100523025
71535150645
oct423527631
9160873718
1072265625
1137879263
1220250475
1311c82b33
149851c25
156527085
hex44eaf99

72265625 has 20 divisors (see below), whose sum is σ = 92773428. Its totient is φ = 56250000.

The previous prime is 72265621. The next prime is 72265643. The reversal of 72265625 is 52656227.

It can be written as a sum of positive squares in 10 ways, for example, as 9665881 + 62599744 = 3109^2 + 7912^2 .

It is not a de Polignac number, because 72265625 - 22 = 72265621 is a prime.

It is a Duffinian number.

Its product of digits (50400) is a multiple of the sum of its prime divisors (42).

It is not an unprimeable number, because it can be changed into a prime (72265621) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1953107 + ... + 1953143.

Almost surely, 272265625 is an apocalyptic number.

It is an amenable number.

72265625 is a deficient number, since it is larger than the sum of its proper divisors (20507803).

72265625 is an frugal number, since it uses more digits than its factorization.

72265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 42 counting only the distinct ones).

The product of its digits is 50400, while the sum is 35.

The square root of 72265625 is about 8500.9190679597. The cubic root of 72265625 is about 416.5277314557.

The spelling of 72265625 in words is "seventy-two million, two hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 37 125 185 625 925 3125 4625 15625 23125 78125 115625 390625 578125 1953125 2890625 14453125 72265625