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172272 = 2433797
BaseRepresentation
bin101010000011110000
322202022110
4222003300
521003042
63405320
71315152
oct520360
9282273
10172272
11108481
1283840
1360549
1446ad2
153609c
hex2a0f0

172272 has 40 divisors (see below), whose sum is σ = 461776. Its totient is φ = 55296.

The previous prime is 172259. The next prime is 172279. The reversal of 172272 is 272271.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1728 + ... + 1824.

2172272 is an apocalyptic number.

172272 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 172272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230888).

172272 is an abundant number, since it is smaller than the sum of its proper divisors (289504).

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

172272 is a wasteful number, since it uses less digits than its factorization.

172272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its digits is 392, while the sum is 21.

The square root of 172272 is about 415.0566226432. The cubic root of 172272 is about 55.6422775938.

Subtracting 172272 from its reverse (272271), we obtain a palindrome (99999).

It can be divided in two parts, 172 and 272, that added together give a palindrome (444).

The spelling of 172272 in words is "one hundred seventy-two thousand, two hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 97 111 148 194 222 291 296 388 444 582 592 776 888 1164 1552 1776 2328 3589 4656 7178 10767 14356 21534 28712 43068 57424 86136 172272