681372 has 36 divisors (see below), whose sum is σ = 1788696. Its totient is φ = 226800.

The previous prime is 681371. The next prime is 681403. The reversal of 681372 is 273186.

681372 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 Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 622 + ... + 1322.

It is an arithmetic number, because the mean of its divisors is an integer number (49686).

2⁶⁸¹³⁷² 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 681372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894348).

681372 is an abundant number, since it is smaller than the sum of its proper divisors (1107324).

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

681372 is a wasteful number, since it uses less digits than its factorization.

681372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 706 counting only the distinct ones).

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

The square root of 681372 is about 825.4526031215. The cubic root of 681372 is about 87.9956953817.

The spelling of 681372 in words is "six hundred eighty-one thousand, three hundred seventy-two".