72205101 has 10 divisors (see below), whose sum is σ = 107862062. Its totient is φ = 48136680.

The previous prime is 72205087. The next prime is 72205117. The reversal of 72205101 is 10150227.

It can be written as a sum of positive squares in only one way, i.e., 58522500 + 13682601 = 7650^2 + 3699^2 .

It is not a de Polignac number, because 72205101 - 2⁹ = 72204589 is a prime.

It is a super-2 number, since 2×72205101² = 10427153220840402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72205121) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 445630 + ... + 445791.

Almost surely, 2^72205101 is an apocalyptic number.

It is an amenable number.

72205101 is a deficient number, since it is larger than the sum of its proper divisors (35656961).

72205101 is an equidigital number, since it uses as much as digits as its factorization.

72205101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891433 (or 891424 counting only the distinct ones).

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

The square root of 72205101 is about 8497.3584719017. The cubic root of 72205101 is about 416.4114153620.

Adding to 72205101 its reverse (10150227), we get a palindrome (82355328).

It can be divided in two parts, 7220 and 5101, that added together give a palindrome (12321).

The spelling of 72205101 in words is "seventy-two million, two hundred five thousand, one hundred one".