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75875712 = 2731122371
BaseRepresentation
bin1001000010111…
…00010110000000
312021202212220120
410201130112000
5123411010322
611310140240
71610634663
oct441342600
9167685816
1075875712
1139914600
12214b1680
1312948093
14a1116da
1569dba5c
hex485c580

75875712 has 192 divisors, whose sum is σ = 234420480. Its totient is φ = 21683200.

The previous prime is 75875699. The next prime is 75875729. The reversal of 75875712 is 21757857.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1068637 + ... + 1068707.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 275875712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75875712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117210240).

75875712 is an abundant number, since it is smaller than the sum of its proper divisors (158544768).

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

75875712 is a wasteful number, since it uses less digits than its factorization.

75875712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its digits is 137200, while the sum is 42.

The square root of 75875712 is about 8710.6665646206. Note that the first 3 decimals coincide. The cubic root of 75875712 is about 423.3513280355.

The spelling of 75875712 in words is "seventy-five million, eight hundred seventy-five thousand, seven hundred twelve".