72020 has 24 divisors (see below), whose sum is σ = 163464. Its totient is φ = 26496.

The previous prime is 72019. The next prime is 72031. The reversal of 72020 is 2027.

It can be written as a sum of positive squares in 4 ways, for example, as 196 + 71824 = 14^2 + 268^2 .

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 71992 and 72010.

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 122 + ... + 398.

It is an arithmetic number, because the mean of its divisors is an integer number (6811).

2^{72020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81732).

72020 is an abundant number, since it is smaller than the sum of its proper divisors (91444).

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

72020 is a wasteful number, since it uses less digits than its factorization.

72020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 11.

The square root of 72020 is about 268.3654225119. The cubic root of 72020 is about 41.6055281115.

Adding to 72020 its reverse (2027), we get a palindrome (74047).

It can be divided in two parts, 720 and 20, that multiplied together give a square (14400 = 120^{2}).

The spelling of 72020 in words is "seventy-two thousand, twenty", and thus it is an iban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 277 554 1108 1385 2770 3601 5540 7202 14404 18005 36010 72020

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