863772 has 72 divisors (see below), whose sum is σ = 2547216. Its totient is φ = 225792.

The previous prime is 863771. The next prime is 863783. The reversal of 863772 is 277368.

863772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×863772³ = 1933386226400026944, which contains 333 as substring. Note that it is a super-d number also for d = 2.

Its product of digits (14112) is a multiple of the sum of its prime factors (147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7588 + ... + 7700.

It is an arithmetic number, because the mean of its divisors is an integer number (35378).

2⁸⁶³⁷⁷² 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 863772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273608).

863772 is an abundant number, since it is smaller than the sum of its proper divisors (1683444).

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

863772 is a wasteful number, since it uses less digits than its factorization.

863772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 863772 is about 929.3933505250. The cubic root of 863772 is about 95.2356844310.

The spelling of 863772 in words is "eight hundred sixty-three thousand, seven hundred seventy-two".