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172072062 = 232172321063
BaseRepresentation
bin10100100000110…
…01110001111110
3102222210011111100
422100121301332
5323022301222
625024033530
74156405551
oct1220316176
9388704440
10172072062
1189148318
12497628a6
13298594b6
1418bd2698
151018e4ac
hexa419c7e

172072062 has 72 divisors (see below), whose sum is σ = 413051184. Its totient is φ = 51587712.

The previous prime is 172072057. The next prime is 172072067. The reversal of 172072062 is 260270271.

172072062 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (172072057) and next prime (172072067).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172072067) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 161343 + ... + 162405.

It is an arithmetic number, because the mean of its divisors is an integer number (5736822).

Almost surely, 2172072062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172072062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206525592).

172072062 is an abundant number, since it is smaller than the sum of its proper divisors (240979122).

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

172072062 is a wasteful number, since it uses less digits than its factorization.

172072062 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 172072062 is about 13117.6240988984. The cubic root of 172072062 is about 556.2074321337.

The spelling of 172072062 in words is "one hundred seventy-two million, seventy-two thousand, sixty-two".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 529 782 1058 1063 1173 1587 2126 2346 3174 3189 3519 4761 6378 7038 8993 9522 9567 17986 18071 19134 24449 26979 36142 48898 53958 54213 73347 80937 108426 146694 161874 162639 220041 325278 415633 440082 562327 831266 1124654 1246899 1686981 2493798 3373962 3740697 5060943 7481394 9559559 10121886 19119118 28678677 57357354 86036031 172072062