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172072117 = 727319001
BaseRepresentation
bin10100100000110…
…01110010110101
3102222210011120101
422100121302311
5323022301432
625024034101
74156405660
oct1220316265
9388704511
10172072117
1189148368
1249762931
1329859529
1418bd26d7
151018e4e7
hexa419cb5

172072117 has 8 divisors (see below), whose sum is σ = 196747712. Its totient is φ = 147420000.

The previous prime is 172072093. The next prime is 172072133. The reversal of 172072117 is 711270271.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 172072117 - 27 = 172071989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172072517) 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 7 ways as a sum of consecutive naturals, for example, 14617 + ... + 23617.

It is an arithmetic number, because the mean of its divisors is an integer number (24593464).

Almost surely, 2172072117 is an apocalyptic number.

It is an amenable number.

172072117 is a deficient number, since it is larger than the sum of its proper divisors (24675595).

172072117 is an equidigital number, since it uses as much as digits as its factorization.

172072117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11739.

The product of its (nonzero) digits is 1372, while the sum is 28.

The square root of 172072117 is about 13117.6261953145. The cubic root of 172072117 is about 556.2074913945.

It can be divided in two parts, 1720 and 72117, that added together give a palindrome (73837).

The spelling of 172072117 in words is "one hundred seventy-two million, seventy-two thousand, one hundred seventeen".

Divisors: 1 7 2731 9001 19117 63007 24581731 172072117