72101200 has 120 divisors (see below), whose sum is σ = 186818400. Its totient is φ = 26657280.

The previous prime is 72101191. The next prime is 72101203. The reversal of 72101200 is 210127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72101203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402711 + ... + 402889.

It is an arithmetic number, because the mean of its divisors is an integer number (1556820).

Almost surely, 2^72101200 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 72101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93409200).

72101200 is an abundant number, since it is smaller than the sum of its proper divisors (114717200).

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

72101200 is a wasteful number, since it uses less digits than its factorization.

72101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 72101200 is about 8491.2425474721. The cubic root of 72101200 is about 416.2115849202.

Adding to 72101200 its reverse (210127), we get a palindrome (72311327).

The spelling of 72101200 in words is "seventy-two million, one hundred one thousand, two hundred".