387265234272 has 288 divisors, whose sum is σ = 1224005852160. Its totient is φ = 106787036160.

The previous prime is 387265234253. The next prime is 387265234297. The reversal of 387265234272 is 272432562783.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 56722123 + ... + 56728949.

It is an arithmetic number, because the mean of its divisors is an integer number (4250020320).

Almost surely, 2^387265234272 is an apocalyptic number.

387265234272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387265234272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612002926080).

387265234272 is an abundant number, since it is smaller than the sum of its proper divisors (836740617888).

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

387265234272 is a wasteful number, since it uses less digits than its factorization.

387265234272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7274 (or 7259 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 51.

The spelling of 387265234272 in words is "three hundred eighty-seven billion, two hundred sixty-five million, two hundred thirty-four thousand, two hundred seventy-two".