763867272 has 96 divisors (see below), whose sum is σ = 2237911200. Its totient is φ = 216631296.

The previous prime is 763867259. The next prime is 763867327. The reversal of 763867272 is 272768367.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 161128 + ... + 165800.

It is an arithmetic number, because the mean of its divisors is an integer number (23311575).

Almost surely, 2^763867272 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 763867272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118955600).

763867272 is an abundant number, since it is smaller than the sum of its proper divisors (1474043928).

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

763867272 is a wasteful number, since it uses less digits than its factorization.

763867272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835 (or 4824 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 48.

The square root of 763867272 is about 27638.1488526276. The cubic root of 763867272 is about 914.1258024547.

The spelling of 763867272 in words is "seven hundred sixty-three million, eight hundred sixty-seven thousand, two hundred seventy-two".