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72752696432 = 2413279340577
BaseRepresentation
bin100001111000001100…
…1100000110001110000
320221210021000220111022
41003300121200301300
52142444142241212
653231102435012
75153610500453
oct1036031406160
9227707026438
1072752696432
11289440006a9
1212124892a68
136b25821900
14374244549a
151d5c104772
hex10f0660c70

72752696432 has 60 divisors (see below), whose sum is σ = 154567919520. Its totient is φ = 33153030144.

The previous prime is 72752696431. The next prime is 72752696437. The reversal of 72752696432 is 23469625727.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72752696431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43328 + ... + 383904.

It is an arithmetic number, because the mean of its divisors is an integer number (2576131992).

Almost surely, 272752696432 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 72752696432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77283959760).

72752696432 is an abundant number, since it is smaller than the sum of its proper divisors (81815223088).

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

72752696432 is a wasteful number, since it uses less digits than its factorization.

72752696432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340690 (or 340671 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 53.

The spelling of 72752696432 in words is "seventy-two billion, seven hundred fifty-two million, six hundred ninety-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 169 208 316 338 632 676 1027 1264 1352 2054 2704 4108 8216 13351 16432 26702 53404 106808 213616 340577 681154 1362308 2724616 4427501 5449232 8855002 17710004 26905583 35420008 53811166 57557513 70840016 107622332 115115026 215244664 230230052 349772579 430489328 460460104 699545158 920920208 1399090316 2798180632 4547043527 5596361264 9094087054 18188174108 36376348216 72752696432