72101778160 has 40 divisors (see below), whose sum is σ = 174925188000. Its totient is φ = 27586766592.

The previous prime is 72101778149. The next prime is 72101778169. The reversal of 72101778160 is 6187710127.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72101778169) 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 7 ways as a sum of consecutive naturals, for example, 19591035 + ... + 19594714.

It is an arithmetic number, because the mean of its divisors is an integer number (4373129700).

Almost surely, 2^72101778160 is an apocalyptic number.

It is an amenable number.

72101778160 is an abundant number, since it is smaller than the sum of its proper divisors (102823409840).

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

72101778160 is a wasteful number, since it uses less digits than its factorization.

72101778160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39185785 (or 39185779 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 40.

The spelling of 72101778160 in words is "seventy-two billion, one hundred one million, seven hundred seventy-eight thousand, one hundred sixty".