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72106236 = 22322418311
BaseRepresentation
bin1000100110001…
…00000011111100
312000200101011100
410103010003330
5121424344421
611053253100
71533615156
oct423040374
9160611140
1072106236
113777a534
1220194190
1311c28417
14980dad6
1564e4c26
hex44c40fc

72106236 has 36 divisors (see below), whose sum is σ = 183046864. Its totient is φ = 23932800.

The previous prime is 72106171. The next prime is 72106241. The reversal of 72106236 is 63260127.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4521 + ... + 12831.

Almost surely, 272106236 is an apocalyptic number.

It is an amenable number.

72106236 is an abundant number, since it is smaller than the sum of its proper divisors (110940628).

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

72106236 is a wasteful number, since it uses less digits than its factorization.

72106236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8562 (or 8557 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 72106236 is about 8491.5390831109. The cubic root of 72106236 is about 416.2212749704.

The spelling of 72106236 in words is "seventy-two million, one hundred six thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 241 482 723 964 1446 2169 2892 4338 8311 8676 16622 24933 33244 49866 74799 99732 149598 299196 2002951 4005902 6008853 8011804 12017706 18026559 24035412 36053118 72106236