72410771664 has 800 divisors, whose sum is σ = 273788190720. Its totient is φ = 17928345600.

The previous prime is 72410771663. The next prime is 72410771681. The reversal of 72410771664 is 46617701427.

72410771664 is a `hidden beast` number, since 7 + 2 + 410 + 77 + 166 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72410771663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 275325997 + ... + 275326259.

Almost surely, 2^72410771664 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 72410771664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136894095360).

72410771664 is an abundant number, since it is smaller than the sum of its proper divisors (201377419056).

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

72410771664 is a wasteful number, since it uses less digits than its factorization.

72410771664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 72410771664 in words is "seventy-two billion, four hundred ten million, seven hundred seventy-one thousand, six hundred sixty-four".