861372 has 36 divisors (see below), whose sum is σ = 2214576. Its totient is φ = 282240.

The previous prime is 861361. The next prime is 861391. The reversal of 861372 is 273168.

861372 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.

861372 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2388 + ... + 2724.

It is an arithmetic number, because the mean of its divisors is an integer number (61516).

2⁸⁶¹³⁷² 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 861372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107288).

861372 is an abundant number, since it is smaller than the sum of its proper divisors (1353204).

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

861372 is a wasteful number, since it uses less digits than its factorization.

861372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 413 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 861372 is about 928.1012875759. The cubic root of 861372 is about 95.1473981469.

The spelling of 861372 in words is "eight hundred sixty-one thousand, three hundred seventy-two".