123778272 has 96 divisors (see below), whose sum is σ = 344977920. Its totient is φ = 38776320.

The previous prime is 123778261. The next prime is 123778273. The reversal of 123778272 is 272877321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 123778272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123778273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134229 + ... + 135147.

It is an arithmetic number, because the mean of its divisors is an integer number (3593520).

Almost surely, 2^123778272 is an apocalyptic number.

123778272 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 123778272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172488960).

123778272 is an abundant number, since it is smaller than the sum of its proper divisors (221199648).

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

123778272 is a wasteful number, since it uses less digits than its factorization.

123778272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1008 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The square root of 123778272 is about 11125.5683899745. The cubic root of 123778272 is about 498.3656932364.

The spelling of 123778272 in words is "one hundred twenty-three million, seven hundred seventy-eight thousand, two hundred seventy-two".