263772 has 36 divisors (see below), whose sum is σ = 707616. Its totient is φ = 82560.

The previous prime is 263761. The next prime is 263803. The reversal of 263772 is 277362.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

263772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 397 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

263772 is a Friedman number, since it can be written as 7327*6^2, using all its digits and the basic arithmetic operations.

2²⁶³⁷⁷² 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 263772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808).

263772 is an abundant number, since it is smaller than the sum of its proper divisors (443844).

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

263772 is a wasteful number, since it uses less digits than its factorization.

263772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 453 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 263772 is about 513.5873830226. The cubic root of 263772 is about 64.1322136590.

It can be divided in two parts, 263 and 772, that added together give a triangular number (1035 = T₄₅).

The spelling of 263772 in words is "two hundred sixty-three thousand, seven hundred seventy-two".