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73132125 = 3531117729
BaseRepresentation
bin1000101101111…
…10100001011101
312002121111102020
410112332201131
5122210212000
611131250353
71545420123
oct426764135
9162544366
1073132125
1138310280
12205a99b9
13121c7361
1499d9913
156648ba0
hex45be85d

73132125 has 32 divisors (see below), whose sum is σ = 132762240. Its totient is φ = 35456000.

The previous prime is 73132109. The next prime is 73132127. The reversal of 73132125 is 52123137.

It is not a de Polignac number, because 73132125 - 24 = 73132109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73132095 and 73132104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73132127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4740 + ... + 12989.

It is an arithmetic number, because the mean of its divisors is an integer number (4148820).

Almost surely, 273132125 is an apocalyptic number.

73132125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

73132125 is a deficient number, since it is larger than the sum of its proper divisors (59630115).

73132125 is a wasteful number, since it uses less digits than its factorization.

73132125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17758 (or 17748 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 73132125 is about 8551.7322806552. The cubic root of 73132125 is about 418.1859115928.

The spelling of 73132125 in words is "seventy-three million, one hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 125 165 275 375 825 1375 4125 17729 53187 88645 195019 265935 443225 585057 975095 1329675 2216125 2925285 4875475 6648375 14626425 24377375 73132125