72122500 has 60 divisors (see below), whose sum is σ = 167093388. Its totient is φ = 27136000.

The previous prime is 72122471. The next prime is 72122521. The reversal of 72122500 is 522127.

It can be written as a sum of positive squares in 10 ways, for example, as 24760576 + 47361924 = 4976^2 + 6882^2 .

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 19 ways as a sum of consecutive naturals, for example, 41652 + ... + 43348.

Almost surely, 2^72122500 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 72122500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83546694).

72122500 is an abundant number, since it is smaller than the sum of its proper divisors (94970888).

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

72122500 is a wasteful number, since it uses less digits than its factorization.

72122500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 72122500 is about 8492.4966882537. The cubic root of 72122500 is about 416.2525663644.

Adding to 72122500 its reverse (522127), we get a palindrome (72644627).

The spelling of 72122500 in words is "seventy-two million, one hundred twenty-two thousand, five hundred".