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172059072 = 2638910069
BaseRepresentation
bin10100100000101…
…10100111000000
3102222202111200020
422100112213000
5323021342242
625023453440
74156322643
oct1220264700
9388674606
10172059072
1189139589
1249757280
1329853603
1418bcba5a
151018a6ec
hexa4169c0

172059072 has 56 divisors (see below), whose sum is σ = 460400400. Its totient is φ = 56702976.

The previous prime is 172059061. The next prime is 172059073. The reversal of 172059072 is 270950271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172059073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12054 + ... + 22122.

Almost surely, 2172059072 is an apocalyptic number.

172059072 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 172059072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230200200).

172059072 is an abundant number, since it is smaller than the sum of its proper divisors (288341328).

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

172059072 is a wasteful number, since it uses less digits than its factorization.

172059072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10173 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 172059072 is about 13117.1289541576. The cubic root of 172059072 is about 556.1934354467.

The spelling of 172059072 in words is "one hundred seventy-two million, fifty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 178 192 267 356 534 712 1068 1424 2136 2848 4272 5696 8544 10069 17088 20138 30207 40276 60414 80552 120828 161104 241656 322208 483312 644416 896141 966624 1792282 1933248 2688423 3584564 5376846 7169128 10753692 14338256 21507384 28676512 43014768 57353024 86029536 172059072