72561200 has 60 divisors (see below), whose sum is σ = 175217208. Its totient is φ = 28876800.

The previous prime is 72561199. The next prime is 72561221. The reversal of 72561200 is 216527.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112880 + ... + 113520.

Almost surely, 2^72561200 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 72561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87608604).

72561200 is an abundant number, since it is smaller than the sum of its proper divisors (102656008).

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

72561200 is a wasteful number, since it uses less digits than its factorization.

72561200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 72561200 is about 8518.2862126134. The cubic root of 72561200 is about 417.0948416259.

Adding to 72561200 its reverse (216527), we get a palindrome (72777727).

The spelling of 72561200 in words is "seventy-two million, five hundred sixty-one thousand, two hundred".