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72106245 = 3251602361
BaseRepresentation
bin1000100110001…
…00000100000101
312000200101011200
410103010010011
5121424344440
611053253113
71533615201
oct423040405
9160611150
1072106245
113777a542
1220194199
1311c28423
14980db01
1564e4c30
hex44c4105

72106245 has 12 divisors (see below), whose sum is σ = 124984236. Its totient is φ = 38456640.

The previous prime is 72106241. The next prime is 72106247. The reversal of 72106245 is 54260127.

It can be written as a sum of positive squares in 2 ways, for example, as 12152196 + 59954049 = 3486^2 + 7743^2 .

It is not a de Polignac number, because 72106245 - 22 = 72106241 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72106241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 801136 + ... + 801225.

It is an arithmetic number, because the mean of its divisors is an integer number (10415353).

Almost surely, 272106245 is an apocalyptic number.

It is an amenable number.

72106245 is a deficient number, since it is larger than the sum of its proper divisors (52877991).

72106245 is a wasteful number, since it uses less digits than its factorization.

72106245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602372 (or 1602369 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72106245 is about 8491.5396130502. The cubic root of 72106245 is about 416.2212922874.

The spelling of 72106245 in words is "seventy-two million, one hundred six thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 45 1602361 4807083 8011805 14421249 24035415 72106245