72201500 has 96 divisors (see below), whose sum is σ = 184329600. Its totient is φ = 24696000.

The previous prime is 72201487. The next prime is 72201509. The reversal of 72201500 is 510227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72201509) 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 31 ways as a sum of consecutive naturals, for example, 171290 + ... + 171710.

It is an arithmetic number, because the mean of its divisors is an integer number (1920100).

Almost surely, 2^72201500 is an apocalyptic number.

72201500 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72201500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92164800).

72201500 is an abundant number, since it is smaller than the sum of its proper divisors (112128100).

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

72201500 is a wasteful number, since it uses less digits than its factorization.

72201500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 72201500 is about 8497.1465798820. The cubic root of 72201500 is about 416.4044928481.

Adding to 72201500 its reverse (510227), we get a palindrome (72711727).

The spelling of 72201500 in words is "seventy-two million, two hundred one thousand, five hundred".