72252100 has 18 divisors (see below), whose sum is σ = 156787274. Its totient is φ = 28900800.

The previous prime is 72252077. The next prime is 72252119. The reversal of 72252100 is 125227.

It can be written as a sum of positive squares in 3 ways, for example, as 1153476 + 71098624 = 1074^2 + 8432^2 .

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 5 ways as a sum of consecutive naturals, for example, 361161 + ... + 361360.

Almost surely, 2^72252100 is an apocalyptic number.

It is an amenable number.

72252100 is an abundant number, since it is smaller than the sum of its proper divisors (84535174).

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

72252100 is a wasteful number, since it uses less digits than its factorization.

72252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722535 (or 722528 counting only the distinct ones).

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

The square root of 72252100 is about 8500.1235285142. The cubic root of 72252100 is about 416.5017445080.

Adding to 72252100 its reverse (125227), we get a palindrome (72377327).

The spelling of 72252100 in words is "seventy-two million, two hundred fifty-two thousand, one hundred".