769272 has 64 divisors (see below), whose sum is σ = 2323200. Its totient is φ = 207360.

The previous prime is 769261. The next prime is 769273. The reversal of 769272 is 272967.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769273) 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 15 ways as a sum of consecutive naturals, for example, 3072 + ... + 3312.

It is an arithmetic number, because the mean of its divisors is an integer number (36300).

2⁷⁶⁹²⁷² 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 769272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161600).

769272 is an abundant number, since it is smaller than the sum of its proper divisors (1553928).

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

769272 is a wasteful number, since it uses less digits than its factorization.

769272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 272 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 769272 is about 877.0815241470. The cubic root of 769272 is about 91.6276697300.

The spelling of 769272 in words is "seven hundred sixty-nine thousand, two hundred seventy-two".