72660168000 has 336 divisors, whose sum is σ = 297050667264. Its totient is φ = 16607923200.

The previous prime is 72660167999. The next prime is 72660168029. The reversal of 72660168000 is 86106627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 431917 + ... + 576083.

Almost surely, 2^72660168000 is an apocalyptic number.

72660168000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72660168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148525333632).

72660168000 is an abundant number, since it is smaller than the sum of its proper divisors (224390499264).

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

72660168000 is a wasteful number, since it uses less digits than its factorization.

72660168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144207 (or 144184 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 72660168000 in words is "seventy-two billion, six hundred sixty million, one hundred sixty-eight thousand".