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72083330757 = 3323116076217
BaseRepresentation
bin100001100100010000…
…0000101011011000101
320220001121111121102000
41003020200011123011
52140111313041012
653040431535513
75131202126154
oct1031040053305
9226047447360
1072083330757
1128630185329
1211b7868a599
136a49c4a149
1436bb5a359b
151d1d483ddc
hex10c88056c5

72083330757 has 16 divisors (see below), whose sum is σ = 111433169280. Its totient is φ = 45966181536.

The previous prime is 72083330743. The next prime is 72083330797. The reversal of 72083330757 is 75703338027.

It is not a de Polignac number, because 72083330757 - 212 = 72083326661 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72083330797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58037488 + ... + 58038729.

It is an arithmetic number, because the mean of its divisors is an integer number (6964573080).

Almost surely, 272083330757 is an apocalyptic number.

It is an amenable number.

72083330757 is a deficient number, since it is larger than the sum of its proper divisors (39349838523).

72083330757 is a wasteful number, since it uses less digits than its factorization.

72083330757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116076249 (or 116076243 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 72083330757 in words is "seventy-two billion, eighty-three million, three hundred thirty thousand, seven hundred fifty-seven".

Divisors: 1 3 9 23 27 69 207 621 116076217 348228651 1044685953 2669752991 3134057859 8009258973 24027776919 72083330757