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112572 = 22325359
BaseRepresentation
bin11011011110111100
312201102100
4123132330
512100242
62225100
7646125
oct333674
9181370
10112572
1177639
1255190
133c315
142d04c
152354c
hex1b7bc

112572 has 36 divisors (see below), whose sum is σ = 294840. Its totient is φ = 36192.

The previous prime is 112571. The next prime is 112573. The reversal of 112572 is 275211.

It is an interprime number because it is at equal distance from previous prime (112571) and next prime (112573).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1879 + ... + 1937.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2112572 is an apocalyptic number.

112572 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 112572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147420).

112572 is an abundant number, since it is smaller than the sum of its proper divisors (182268).

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

112572 is a wasteful number, since it uses less digits than its factorization.

112572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 117 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 112572 is about 335.5175107204. The cubic root of 112572 is about 48.2847655875.

Adding to 112572 its reverse (275211), we get a palindrome (387783).

The spelling of 112572 in words is "one hundred twelve thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 59 106 118 159 177 212 236 318 354 477 531 636 708 954 1062 1908 2124 3127 6254 9381 12508 18762 28143 37524 56286 112572