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72311690 = 251137109163
BaseRepresentation
bin1000100111101…
…10001110001010
312001001210222202
410103312032022
5122002433230
611101520202
71535432153
oct423661612
9161053882
1072311690
11378aa930
1220273062
1311c9aaa9
14986492a
156535a45
hex44f638a

72311690 has 64 divisors (see below), whose sum is σ = 148072320. Its totient is φ = 25194240.

The previous prime is 72311689. The next prime is 72311713. The reversal of 72311690 is 9611327.

It is a super-2 number, since 2×723116902 = 10457961021312200, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 443549 + ... + 443711.

It is an arithmetic number, because the mean of its divisors is an integer number (2313630).

Almost surely, 272311690 is an apocalyptic number.

72311690 is an abundant number, since it is smaller than the sum of its proper divisors (75760630).

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

72311690 is a wasteful number, since it uses less digits than its factorization.

72311690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 72311690 is about 8503.6280492505. The cubic root of 72311690 is about 416.6162164695.

The spelling of 72311690 in words is "seventy-two million, three hundred eleven thousand, six hundred ninety".

Divisors: 1 2 5 10 11 22 37 55 74 109 110 163 185 218 326 370 407 545 814 815 1090 1199 1630 1793 2035 2398 3586 4033 4070 5995 6031 8066 8965 11990 12062 17767 17930 20165 30155 35534 40330 44363 60310 66341 88726 88835 132682 177670 195437 221815 331705 390874 443630 657379 663410 977185 1314758 1954370 3286895 6573790 7231169 14462338 36155845 72311690