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72756575465073 = 31730191916324659
BaseRepresentation
bin10000100010101111110101…
…110101011110111001110001
3100112121110102211200102110220
4100202233311311132321301
534014020431304340243
6414423524230243253
721216326523340353
oct2042576565367161
9315543384612426
1072756575465073
11212009880a9905
1281b0865ab6529
133179bb982ba56
1413d76193570d3
1586287382b783
hex422bf5d5ee71

72756575465073 has 32 divisors (see below), whose sum is σ = 102758717145600. Its totient is φ = 45631831255296.

The previous prime is 72756575465053. The next prime is 72756575465111. The reversal of 72756575465073 is 37056457565727.

It is a happy number.

It is not a de Polignac number, because 72756575465073 - 210 = 72756575464049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72756575464989 and 72756575465007.

It is not an unprimeable number, because it can be changed into a prime (72756575465023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2950495618 + ... + 2950520276.

It is an arithmetic number, because the mean of its divisors is an integer number (3211209910800).

Almost surely, 272756575465073 is an apocalyptic number.

It is an amenable number.

72756575465073 is a deficient number, since it is larger than the sum of its proper divisors (30002141680527).

72756575465073 is a wasteful number, since it uses less digits than its factorization.

72756575465073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46861.

The product of its (nonzero) digits is 1296540000, while the sum is 69.

The spelling of 72756575465073 in words is "seventy-two trillion, seven hundred fifty-six billion, five hundred seventy-five million, four hundred sixty-five thousand, seventy-three".

Divisors: 1 3 17 51 3019 9057 19163 24659 51323 57489 73977 153969 325771 419203 977313 1257609 57853097 74445521 173559291 223336563 472540417 983502649 1265573857 1417621251 2950507947 3796721571 8033187089 24099561267 1426599518923 4279798556769 24252191821691 72756575465073