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72119680 = 275112687
BaseRepresentation
bin1000100110001…
…11010110000000
312000201001121021
410103013112000
5121430312210
611053435224
71534002313
oct423072600
9160631537
1072119680
1137789646
122019bb14
1311c31589
14981497a
1564e8bda
hex44c7580

72119680 has 32 divisors (see below), whose sum is σ = 172412640. Its totient is φ = 28847616.

The previous prime is 72119669. The next prime is 72119683. The reversal of 72119680 is 8691127.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72119683) 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, 55704 + ... + 56983.

It is an arithmetic number, because the mean of its divisors is an integer number (5387895).

Almost surely, 272119680 is an apocalyptic number.

It is an amenable number.

72119680 is an abundant number, since it is smaller than the sum of its proper divisors (100292960).

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

72119680 is a wasteful number, since it uses less digits than its factorization.

72119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112706 (or 112694 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 72119680 is about 8492.3306577170. The cubic root of 72119680 is about 416.2471411155.

The spelling of 72119680 in words is "seventy-two million, one hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 112687 225374 450748 563435 901496 1126870 1802992 2253740 3605984 4507480 7211968 9014960 14423936 18029920 36059840 72119680