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72166860 = 22325400927
BaseRepresentation
bin1000100110100…
…10110111001100
312000210110022200
410103102313030
5121433314420
611054441500
71534260003
oct423226714
9160713280
1072166860
1137811037
1220203290
1311c49bac
149827c3a
156507b90
hex44d2dcc

72166860 has 36 divisors (see below), whose sum is σ = 218906688. Its totient is φ = 19244448.

The previous prime is 72166859. The next prime is 72166873. The reversal of 72166860 is 6866127.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 200284 + ... + 200643.

Almost surely, 272166860 is an apocalyptic number.

It is an amenable number.

72166860 is an abundant number, since it is smaller than the sum of its proper divisors (146739828).

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

72166860 is a wasteful number, since it uses less digits than its factorization.

72166860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400942 (or 400937 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 72166860 is about 8495.1080040221. The cubic root of 72166860 is about 416.3378896196.

The spelling of 72166860 in words is "seventy-two million, one hundred sixty-six thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 400927 801854 1202781 1603708 2004635 2405562 3608343 4009270 4811124 6013905 7216686 8018540 12027810 14433372 18041715 24055620 36083430 72166860