123728760 has 96 divisors (see below), whose sum is σ = 423306000. Its totient is φ = 31256064.

The previous prime is 123728747. The next prime is 123728783. The reversal of 123728760 is 67827321.

It is a super-2 number, since 2×123728760² = 30617612102275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2205 + ... + 15884.

Almost surely, 2^123728760 is an apocalyptic number.

123728760 is a gapful number since it is divisible by the number (10) 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 123728760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211653000).

123728760 is an abundant number, since it is smaller than the sum of its proper divisors (299577240).

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

123728760 is a wasteful number, since it uses less digits than its factorization.

123728760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18125 (or 18118 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 123728760 is about 11123.3430226708. The cubic root of 123728760 is about 498.2992346876.

The spelling of 123728760 in words is "one hundred twenty-three million, seven hundred twenty-eight thousand, seven hundred sixty".