72201060 has 108 divisors (see below), whose sum is σ = 225857268. Its totient is φ = 18669312.

The previous prime is 72201053. The next prime is 72201061. The reversal of 72201060 is 6010227.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 27123264 + 45077796 = 5208^2 + 6714^2 .

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

It is not an unprimeable number, because it can be changed into a prime (72201061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 246274 + ... + 246566.

It is an arithmetic number, because the mean of its divisors is an integer number (2091271).

Almost surely, 2^72201060 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 72201060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112928634).

72201060 is an abundant number, since it is smaller than the sum of its proper divisors (153656208).

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

72201060 is a wasteful number, since it uses less digits than its factorization.

72201060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 72201060 is about 8497.1206887981. The cubic root of 72201060 is about 416.4036469823.

Adding to 72201060 its reverse (6010227), we get a palindrome (78211287).

The spelling of 72201060 in words is "seventy-two million, two hundred one thousand, sixty".