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72367354048 = 2611769133673
BaseRepresentation
bin100001101100101101…
…1100011000011000000
320220210101221111010011
41003121123203003000
52141202020312143
653124535314304
75141221234333
oct1033133430300
9226711844104
1072367354048
1128766537220
121203781b994
136a93a42b72
1437071b861a
151d38388e9d
hex10d96e30c0

72367354048 has 56 divisors (see below), whose sum is σ = 156863765520. Its totient is φ = 32851230720.

The previous prime is 72367354019. The next prime is 72367354063. The reversal of 72367354048 is 84045376327.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72367353992 and 72367354010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474540 + ... + 608212.

It is an arithmetic number, because the mean of its divisors is an integer number (2801138670).

Almost surely, 272367354048 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 72367354048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78431882760).

72367354048 is an abundant number, since it is smaller than the sum of its proper divisors (84496411472).

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

72367354048 is a wasteful number, since it uses less digits than its factorization.

72367354048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134465 (or 134455 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

The spelling of 72367354048 in words is "seventy-two billion, three hundred sixty-seven million, three hundred fifty-four thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 769 1538 3076 6152 8459 12304 16918 24608 33836 49216 67672 133673 135344 267346 270688 534692 541376 1069384 1470403 2138768 2940806 4277536 5881612 8555072 11763224 23526448 47052896 94105792 102794537 205589074 411178148 822356296 1130739907 1644712592 2261479814 3289425184 4522959628 6578850368 9045919256 18091838512 36183677024 72367354048