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72100 = 22527103
BaseRepresentation
bin10001100110100100
310122220101
4101212210
54301400
61313444
7420130
oct214644
9118811
1072100
114a196
1235884
1326a82
141c3c0
151656a
hex119a4

72100 has 36 divisors (see below), whose sum is σ = 180544. Its totient is φ = 24480.

The previous prime is 72091. The next prime is 72101. The reversal of 72100 is 127.

Adding to 72100 its reverse (127), we get a palindrome (72227).

72100 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 10.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72101) by changing a digit.

72100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 649 + ... + 751.

272100 is an apocalyptic number.

72100 is a gapful number since it is divisible by the number (70) 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 72100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90272).

72100 is an abundant number, since it is smaller than the sum of its proper divisors (108444).

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

72100 is a wasteful number, since it uses less digits than its factorization.

72100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 72100 is about 268.5144316420. The cubic root of 72100 is about 41.6209275866.

The spelling of 72100 in words is "seventy-two thousand, one hundred", and thus it is an iban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 103 140 175 206 350 412 515 700 721 1030 1442 2060 2575 2884 3605 5150 7210 10300 14420 18025 36050 72100