72241200 has 120 divisors (see below), whose sum is σ = 257163600. Its totient is φ = 19261440.

The previous prime is 72241199. The next prime is 72241217. The reversal of 72241200 is 214227.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7456 + ... + 14144.

It is an arithmetic number, because the mean of its divisors is an integer number (2143030).

Almost surely, 2^72241200 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 72241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128581800).

72241200 is an abundant number, since it is smaller than the sum of its proper divisors (184922400).

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

72241200 is a wasteful number, since it uses less digits than its factorization.

72241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6716 (or 6699 counting only the distinct ones).

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

The square root of 72241200 is about 8499.4823371780. The cubic root of 72241200 is about 416.4807988777.

Adding to 72241200 its reverse (214227), we get a palindrome (72455427).

The spelling of 72241200 in words is "seventy-two million, two hundred forty-one thousand, two hundred".