72142865800 has 48 divisors (see below), whose sum is σ = 169392924900. Its totient is φ = 28571424000.

The previous prime is 72142865761. The next prime is 72142865801. The reversal of 72142865800 is 856824127.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 61890493284 + 10252372516 = 248778^2 + 101254^2 .

It is not an unprimeable number, because it can be changed into a prime (72142865801) 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 11 ways as a sum of consecutive naturals, for example, 1765515 + ... + 1805914.

Almost surely, 2^72142865800 is an apocalyptic number.

It is an amenable number.

72142865800 is an abundant number, since it is smaller than the sum of its proper divisors (97250059100).

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

72142865800 is a wasteful number, since it uses less digits than its factorization.

72142865800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571546 (or 3571537 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 72142865800 in words is "seventy-two billion, one hundred forty-two million, eight hundred sixty-five thousand, eight hundred".