72771637168000 has 128 divisors (see below), whose sum is σ = 180955789691040. Its totient is φ = 29104261632000.

The previous prime is 72771637167959. The next prime is 72771637168007. The reversal of 72771637168000 is 86173617727.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×72771637168000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72771637168007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106716124 + ... + 107395876.

Almost surely, 2^{72771637168000} 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 72771637168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90477894845520).

72771637168000 is an abundant number, since it is smaller than the sum of its proper divisors (108184152523040).

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

72771637168000 is an equidigital number, since it uses as much as digits as its factorization.

72771637168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686473 (or 686451 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 55.

The spelling of 72771637168000 in words is "seventy-two trillion, seven hundred seventy-one billion, six hundred thirty-seven million, one hundred sixty-eight thousand".