72205020 has 144 divisors (see below), whose sum is σ = 231154560. Its totient is φ = 18916416.

The previous prime is 72204989. The next prime is 72205033. The reversal of 72205020 is 2050227.

72205020 = 1324² + 1325² + ... + 1363².

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 72204984 and 72205002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403291 + ... + 403469.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2^72205020 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 72205020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115577280).

72205020 is an abundant number, since it is smaller than the sum of its proper divisors (158949540).

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

72205020 is a wasteful number, since it uses less digits than its factorization.

72205020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 72205020 is about 8497.3537057133. The cubic root of 72205020 is about 416.4112596512.

Adding to 72205020 its reverse (2050227), we get a palindrome (74255247).

The spelling of 72205020 in words is "seventy-two million, two hundred five thousand, twenty".