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9372 = 2231171
BaseRepresentation
bin10010010011100
3110212010
42102130
5244442
6111220
736216
oct22234
913763
109372
117050
125510
13435c
1435b6
152b9c
hex249c

9372 has 24 divisors (see below), whose sum is σ = 24192. Its totient is φ = 2800.

The previous prime is 9371. The next prime is 9377. The reversal of 9372 is 2739.

It can be divided in two parts, 937 and 2, that added together give a palindrome (939).

9372 is nontrivially palindromic in base 5.

It is a plaindrome in base 8 and base 16.

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9372.

It is not an unprimeable number, because it can be changed into a prime (9371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

29372 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 9372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096).

9372 is an abundant number, since it is smaller than the sum of its proper divisors (14820).

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

9372 is a wasteful number, since it uses less digits than its factorization.

9372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 87 counting only the distinct ones).

The product of its digits is 378, while the sum is 21.

The square root of 9372 is about 96.8090904822. The cubic root of 9372 is about 21.0835672388.

The spelling of 9372 in words is "nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 2343 3124 4686 9372