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72166656 = 28393967
BaseRepresentation
bin1000100110100…
…10110100000000
312000210110001010
410103102310000
5121433313111
611054440520
71534256262
oct423226400
9160713033
1072166656
1137810971
1220203140
1311c49a83
149827b32
156507aa6
hex44d2d00

72166656 has 36 divisors (see below), whose sum is σ = 192070592. Its totient is φ = 24055296.

The previous prime is 72166643. The next prime is 72166657. The reversal of 72166656 is 65666127.

It is a hoax number, since the sum of its digits (39) 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 (72166657) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46216 + ... + 47751.

Almost surely, 272166656 is an apocalyptic number.

It is an amenable number.

72166656 is an abundant number, since it is smaller than the sum of its proper divisors (119903936).

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

72166656 is an equidigital number, since it uses as much as digits as its factorization.

72166656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93986 (or 93972 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 72166656 is about 8495.0959971033. The cubic root of 72166656 is about 416.3374973204.

The spelling of 72166656 in words is "seventy-two million, one hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 93967 187934 281901 375868 563802 751736 1127604 1503472 2255208 3006944 4510416 6013888 9020832 12027776 18041664 24055552 36083328 72166656