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72017328 = 2433174733
BaseRepresentation
bin1000100101011…
…10010110110000
312000111212012110
410102232112300
5121414023303
611051325320
71533065025
oct422562660
9160455173
1072017328
1137719759
1220150840
1311bc6b06
1497c954c
1564c8703
hex44ae5b0

72017328 has 40 divisors (see below), whose sum is σ = 186671088. Its totient is φ = 23924992.

The previous prime is 72017327. The next prime is 72017329. The reversal of 72017328 is 82371027.

It is an interprime number because it is at equal distance from previous prime (72017327) and next prime (72017329).

It is a junction number, because it is equal to n+sod(n) for n = 72017295 and 72017304.

It is not an unprimeable number, because it can be changed into a prime (72017327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12850 + ... + 17582.

Almost surely, 272017328 is an apocalyptic number.

It is an amenable number.

72017328 is an abundant number, since it is smaller than the sum of its proper divisors (114653760).

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

72017328 is a wasteful number, since it uses less digits than its factorization.

72017328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 72017328 is about 8486.3023750041. The cubic root of 72017328 is about 416.0501357228.

The spelling of 72017328 in words is "seventy-two million, seventeen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 317 634 951 1268 1902 2536 3804 4733 5072 7608 9466 14199 15216 18932 28398 37864 56796 75728 113592 227184 1500361 3000722 4501083 6001444 9002166 12002888 18004332 24005776 36008664 72017328