72150202000 has 80 divisors (see below), whose sum is σ = 180475167600. Its totient is φ = 27864883200.

The previous prime is 72150201997. The next prime is 72150202013. The reversal of 72150202000 is 20205127.

It can be written as a sum of positive squares in 8 ways, for example, as 10525118464 + 61625083536 = 102592^2 + 248244^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 563985 + ... + 679984.

It is an arithmetic number, because the mean of its divisors is an integer number (2255939595).

Almost surely, 2^72150202000 is an apocalyptic number.

It is an amenable number.

72150202000 is an abundant number, since it is smaller than the sum of its proper divisors (108324965600).

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

72150202000 is a wasteful number, since it uses less digits than its factorization.

72150202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244021 (or 1244005 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

Adding to 72150202000 its reverse (20205127), we get a palindrome (72170407127).

The spelling of 72150202000 in words is "seventy-two billion, one hundred fifty million, two hundred two thousand".