123772 has 24 divisors (see below), whose sum is σ = 246960. Its totient is φ = 53760.

The previous prime is 123757. The next prime is 123787. The reversal of 123772 is 277321.

It is an interprime number because it is at equal distance from previous prime (123757) and next prime (123787).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

123772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1228 + ... + 1324.

It is an arithmetic number, because the mean of its divisors is an integer number (10290).

2¹²³⁷⁷² is an apocalyptic number.

It is an amenable number.

123772 is a deficient number, since it is larger than the sum of its proper divisors (123188).

123772 is a wasteful number, since it uses less digits than its factorization.

123772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 139 counting only the distinct ones).

The product of its digits is 588, while the sum is 22.

The square root of 123772 is about 351.8124500355. The cubic root of 123772 is about 49.8357275490.

The spelling of 123772 in words is "one hundred twenty-three thousand, seven hundred seventy-two", and thus it is an iban number.