72687141331200 has 1512 divisors, whose sum is σ = 296106285588960. Its totient is φ = 17511004569600.

The previous prime is 72687141331153. The next prime is 72687141331213. The reversal of 72687141331200 is 213314178627.

72687141331200 is a `hidden beast` number, since 7 + 2 + 6 + 8 + 71 + 41 + 331 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 8365416456 + ... + 8365425144.

Almost surely, 2^{72687141331200} 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 72687141331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148053142794480).

72687141331200 is an abundant number, since it is smaller than the sum of its proper divisors (223419144257760).

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

72687141331200 is a wasteful number, since it uses less digits than its factorization.

72687141331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8907 (or 8873 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 72687141331200 in words is "seventy-two trillion, six hundred eighty-seven billion, one hundred forty-one million, three hundred thirty-one thousand, two hundred".