72877005256064 has 32 divisors (see below), whose sum is σ = 146516628284400. Its totient is φ = 36104204431872.

The previous prime is 72877005256063. The next prime is 72877005256067. The reversal of 72877005256064 is 46065250077827.

72877005256064 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×72877005256064² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72877005255994 and 72877005256012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72877005256063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2611690652 + ... + 2611718555.

Almost surely, 2^{72877005256064} is an apocalyptic number.

It is an amenable number.

72877005256064 is an abundant number, since it is smaller than the sum of its proper divisors (73639623028336).

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

72877005256064 is a wasteful number, since it uses less digits than its factorization.

72877005256064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5223409330 (or 5223409318 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 59.

The spelling of 72877005256064 in words is "seventy-two trillion, eight hundred seventy-seven billion, five million, two hundred fifty-six thousand, sixty-four".