72671132160 has 960 divisors, whose sum is σ = 295347596544. Its totient is φ = 16318464000.

The previous prime is 72671132159. The next prime is 72671132203. The reversal of 72671132160 is 6123117627.

It is a happy number.

72671132160 is a `hidden beast` number, since 7 + 267 + 11 + 321 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 435156397 + ... + 435156563.

Almost surely, 2^72671132160 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 72671132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147673798272).

72671132160 is an abundant number, since it is smaller than the sum of its proper divisors (222676464384).

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

72671132160 is a wasteful number, since it uses less digits than its factorization.

72671132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Adding to 72671132160 its reverse (6123117627), we get a palindrome (78794249787).

The spelling of 72671132160 in words is "seventy-two billion, six hundred seventy-one million, one hundred thirty-two thousand, one hundred sixty".