803772 has 36 divisors (see below), whose sum is σ = 2063880. Its totient is φ = 263712.

The previous prime is 803749. The next prime is 803813. The reversal of 803772 is 277308.

803772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2854 + ... + 3122.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

2⁸⁰³⁷⁷² 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 803772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031940).

803772 is an abundant number, since it is smaller than the sum of its proper divisors (1260108).

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

803772 is a wasteful number, since it uses less digits than its factorization.

803772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 803772 is about 896.5333234186. The cubic root of 803772 is about 92.9774485729.

It can be divided in two parts, 803 and 772, that multiplied together give a palindrome (619916).

The spelling of 803772 in words is "eight hundred three thousand, seven hundred seventy-two".