272413786788 has 288 divisors, whose sum is σ = 818573333760. Its totient is φ = 75300986880.

The previous prime is 272413786781. The next prime is 272413786807. The reversal of 272413786788 is 887687314272.

It is a happy number.

272413786788 is a `hidden beast` number, since 2 + 72 + 413 + 7 + 86 + 78 + 8 = 666.

272413786788 is an astonishing number since 272413786788 = 272413 + ... + 786788.

It is not an unprimeable number, because it can be changed into a prime (272413786781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 331000545 + ... + 331001367.

It is an arithmetic number, because the mean of its divisors is an integer number (2842268520).

Almost surely, 2^272413786788 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 272413786788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409286666880).

272413786788 is an abundant number, since it is smaller than the sum of its proper divisors (546159546972).

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

272413786788 is a wasteful number, since it uses less digits than its factorization.

272413786788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1534 counting only the distinct ones).

The product of its digits is 50577408, while the sum is 63.

The spelling of 272413786788 in words is "two hundred seventy-two billion, four hundred thirteen million, seven hundred eighty-six thousand, seven hundred eighty-eight".