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172402272 = 2532785517
BaseRepresentation
bin10100100011010…
…10011001100000
3110000101221110100
422101222121200
5323113333042
625035102400
74162252350
oct1221523140
9400357410
10172402272
1189353419
12498a1a00
13299438a3
1418c7ab60
151020724c
hexa46a660

172402272 has 72 divisors (see below), whose sum is σ = 560313936. Its totient is φ = 49257216.

The previous prime is 172402261. The next prime is 172402301. The reversal of 172402272 is 272204271.

It is a tau number, because it is divible by the number of its divisors (72).

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, 40743 + ... + 44774.

It is an arithmetic number, because the mean of its divisors is an integer number (7782138).

Almost surely, 2172402272 is an apocalyptic number.

172402272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

172402272 is an abundant number, since it is smaller than the sum of its proper divisors (387911664).

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

172402272 is a wasteful number, since it uses less digits than its factorization.

172402272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85540 (or 85529 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 172402272 is about 13130.2045680941. The cubic root of 172402272 is about 556.5629961403.

The spelling of 172402272 in words is "one hundred seventy-two million, four hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 85517 171034 256551 342068 513102 598619 684136 769653 1026204 1197238 1368272 1539306 1795857 2052408 2394476 2736544 3078612 3591714 4104816 4788952 5387571 6157224 7183428 8209632 9577904 10775142 12314448 14366856 19155808 21550284 24628896 28733712 43100568 57467424 86201136 172402272