72144200 has 48 divisors (see below), whose sum is σ = 169023780. Its totient is φ = 28636160.

The previous prime is 72144179. The next prime is 72144203. The reversal of 72144200 is 244127.

It can be written as a sum of positive squares in 6 ways, for example, as 16760836 + 55383364 = 4094^2 + 7442^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (72144203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 26084 + ... + 28716.

Almost surely, 2^72144200 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 72144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84511890).

72144200 is an abundant number, since it is smaller than the sum of its proper divisors (96879580).

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

72144200 is a wasteful number, since it uses less digits than its factorization.

72144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 72144200 is about 8493.7741905469. The cubic root of 72144200 is about 416.2943091166.

Adding to 72144200 its reverse (244127), we get a palindrome (72388327).

The spelling of 72144200 in words is "seventy-two million, one hundred forty-four thousand, two hundred".