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72114176 = 2138803
BaseRepresentation
bin1000100110001…
…10000000000000
312000200210001102
410103012000000
5121430123201
611053353532
71533650261
oct423060000
9160623042
1072114176
11377854a2
12201988a8
1311c2bc14
149812968
1564e726b
hex44c6000

72114176 has 28 divisors (see below), whose sum is σ = 144235932. Its totient is φ = 36052992.

The previous prime is 72114167. The next prime is 72114179. The reversal of 72114176 is 67141127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72114179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3791 + ... + 12593.

Almost surely, 272114176 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 72114176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72117966).

72114176 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

72114176 is an frugal number, since it uses more digits than its factorization.

72114176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8829 (or 8805 counting only the distinct ones).

The product of its digits is 2352, while the sum is 29.

The square root of 72114176 is about 8492.0065944393. The cubic root of 72114176 is about 416.2365518535.

The spelling of 72114176 in words is "seventy-two million, one hundred fourteen thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 8803 17606 35212 70424 140848 281696 563392 1126784 2253568 4507136 9014272 18028544 36057088 72114176