72224100 has 108 divisors (see below), whose sum is σ = 243835956. Its totient is φ = 17775360.

The previous prime is 72224059. The next prime is 72224137. The reversal of 72224100 is 142227.

It can be written as a sum of positive squares in 6 ways, for example, as 28901376 + 43322724 = 5376^2 + 6582^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8614 + ... + 14786.

Almost surely, 2^72224100 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 72224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121917978).

72224100 is an abundant number, since it is smaller than the sum of its proper divisors (171611856).

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

72224100 is a wasteful number, since it uses less digits than its factorization.

72224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6206 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 72224100 is about 8498.4763340260. The cubic root of 72224100 is about 416.4479349733.

Adding to 72224100 its reverse (142227), we get a palindrome (72366327).

The spelling of 72224100 in words is "seventy-two million, two hundred twenty-four thousand, one hundred".