72166722163200 has 2400 divisors, whose sum is σ = 323517109829760. Its totient is φ = 15536141107200.

The previous prime is 72166722163177. The next prime is 72166722163213. The reversal of 72166722163200 is 236122766127.

72166722163200 is a `hidden beast` number, since 7 + 2 + 1 + 6 + 6 + 7 + 2 + 2 + 1 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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 239 ways as a sum of consecutive naturals, for example, 8629282219 + ... + 8629290581.

Almost surely, 2^{72166722163200} is an apocalyptic number.

72166722163200 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 72166722163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161758554914880).

72166722163200 is an abundant number, since it is smaller than the sum of its proper divisors (251350387666560).

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

72166722163200 is a wasteful number, since it uses less digits than its factorization.

72166722163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8480 (or 8450 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 72166722163200 in words is "seventy-two trillion, one hundred sixty-six billion, seven hundred twenty-two million, one hundred sixty-three thousand, two hundred".