72500045100 has 144 divisors (see below), whose sum is σ = 239822650368. Its totient is φ = 16565276160.

The previous prime is 72500045089. The next prime is 72500045113. The reversal of 72500045100 is 154000527.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8044797 + ... + 8053803.

It is an arithmetic number, because the mean of its divisors is an integer number (1665435072).

Almost surely, 2^72500045100 is an apocalyptic number.

72500045100 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 72500045100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119911325184).

72500045100 is an abundant number, since it is smaller than the sum of its proper divisors (167322605268).

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

72500045100 is a wasteful number, since it uses less digits than its factorization.

72500045100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12864 (or 12857 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

Adding to 72500045100 its reverse (154000527), we get a palindrome (72654045627).

The spelling of 72500045100 in words is "seventy-two billion, five hundred million, forty-five thousand, one hundred".