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172207872 = 2832411823
BaseRepresentation
bin10100100001110…
…10111100000000
3110000001001210100
422100322330000
5323041122442
625031002400
74160512524
oct1220727400
9400031710
10172207872
1189230361
1249809400
13298a6265
1418c29d84
15101b984c
hexa43af00

172207872 has 108 divisors (see below), whose sum is σ = 508906944. Its totient is φ = 55971840.

The previous prime is 172207817. The next prime is 172207897. The reversal of 172207872 is 278702271.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93553 + ... + 95375.

Almost surely, 2172207872 is an apocalyptic number.

172207872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172207872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254453472).

172207872 is an abundant number, since it is smaller than the sum of its proper divisors (336699072).

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

172207872 is a wasteful number, since it uses less digits than its factorization.

172207872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 172207872 is about 13122.7997012833. The cubic root of 172207872 is about 556.3537248476.

The spelling of 172207872 in words is "one hundred seventy-two million, two hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 576 656 738 768 984 1152 1312 1476 1823 1968 2304 2624 2952 3646 3936 5248 5469 5904 7292 7872 10496 10938 11808 14584 15744 16407 21876 23616 29168 31488 32814 43752 47232 58336 65628 74743 87504 94464 116672 131256 149486 175008 224229 233344 262512 298972 350016 448458 466688 525024 597944 672687 700032 896916 1050048 1195888 1345374 1400064 1793832 2100096 2391776 2690748 3587664 4200192 4783552 5381496 7175328 9567104 10762992 14350656 19134208 21525984 28701312 43051968 57402624 86103936 172207872