72168348211200 has 1152 divisors, whose sum is σ = 288269915169600. Its totient is φ = 17623091773440.

The previous prime is 72168348211133. The next prime is 72168348211283. The reversal of 72168348211200 is 211284386127.

72168348211200 is a `hidden beast` number, since 7 + 2 + 168 + 3 + 482 + 1 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

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, 869488102 + ... + 869571098.

Almost surely, 2^{72168348211200} 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 72168348211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144134957584800).

72168348211200 is an abundant number, since it is smaller than the sum of its proper divisors (216101566958400).

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

72168348211200 is a wasteful number, since it uses less digits than its factorization.

72168348211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83092 (or 83061 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 72168348211200 in words is "seventy-two trillion, one hundred sixty-eight billion, three hundred forty-eight million, two hundred eleven thousand, two hundred".