123372 has 36 divisors (see below), whose sum is σ = 327600. Its totient is φ = 39072.

The previous prime is 123341. The next prime is 123373. The reversal of 123372 is 273321.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 123372.

It is not an unprimeable number, because it can be changed into a prime (123373) 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, 754 + ... + 902.

It is an arithmetic number, because the mean of its divisors is an integer number (9100).

2¹²³³⁷² is an apocalyptic number.

123372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163800).

123372 is an abundant number, since it is smaller than the sum of its proper divisors (204228).

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

123372 is a wasteful number, since it uses less digits than its factorization.

123372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 177 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 123372 is about 351.2435052780. The cubic root of 123372 is about 49.7819840963.

Adding to 123372 its reverse (273321), we get a palindrome (396693).

The spelling of 123372 in words is "one hundred twenty-three thousand, three hundred seventy-two", and thus it is an iban number.