72167160533760 has 432 divisors, whose sum is σ = 263960705080800. Its totient is φ = 18153443229696.

The previous prime is 72167160533707. The next prime is 72167160533801. The reversal of 72167160533760 is 6733506176127.

72167160533760 is a `hidden beast` number, since 7 + 2 + 1 + 67 + 160 + 53 + 376 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72167160533697 and 72167160533706.

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, 50291506 + ... + 51706574.

It is an arithmetic number, because the mean of its divisors is an integer number (611020150650).

Almost surely, 2^{72167160533760} 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 72167160533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131980352540400).

72167160533760 is an abundant number, since it is smaller than the sum of its proper divisors (191793544547040).

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

72167160533760 is a wasteful number, since it uses less digits than its factorization.

72167160533760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415348 (or 1415331 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 72167160533760 in words is "seventy-two trillion, one hundred sixty-seven billion, one hundred sixty million, five hundred thirty-three thousand, seven hundred sixty".