72233752100 has 72 divisors (see below), whose sum is σ = 160578034848. Its totient is φ = 28188921600.

The previous prime is 72233752067. The next prime is 72233752103. The reversal of 72233752100 is 125733227.

It is not an unprimeable number, because it can be changed into a prime (72233752103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3890840 + ... + 3909360.

It is an arithmetic number, because the mean of its divisors is an integer number (2230250484).

Almost surely, 2^72233752100 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 72233752100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80289017424).

72233752100 is an abundant number, since it is smaller than the sum of its proper divisors (88344282748).

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

72233752100 is a wasteful number, since it uses less digits than its factorization.

72233752100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19485 (or 19478 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The spelling of 72233752100 in words is "seventy-two billion, two hundred thirty-three million, seven hundred fifty-two thousand, one hundred".