72671042160 has 400 divisors, whose sum is σ = 258389405472. Its totient is φ = 18923673600.

The previous prime is 72671042141. The next prime is 72671042173. The reversal of 72671042160 is 6124017627.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62058375 + ... + 62059545.

Almost surely, 2^72671042160 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 72671042160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129194702736).

72671042160 is an abundant number, since it is smaller than the sum of its proper divisors (185718363312).

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

72671042160 is a wasteful number, since it uses less digits than its factorization.

72671042160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 72671042160 its reverse (6124017627), we get a palindrome (78795059787).

The spelling of 72671042160 in words is "seventy-two billion, six hundred seventy-one million, forty-two thousand, one hundred sixty".