123577272 has 128 divisors (see below), whose sum is σ = 422553600. Its totient is φ = 32586624.

The previous prime is 123577271. The next prime is 123577283. The reversal of 123577272 is 272775321.

123577272 is a `hidden beast` number, since 12 + 3 + 577 + 2 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123577271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16513 + ... + 22799.

It is an arithmetic number, because the mean of its divisors is an integer number (3301200).

Almost surely, 2^123577272 is an apocalyptic number.

123577272 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 123577272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211276800).

123577272 is an abundant number, since it is smaller than the sum of its proper divisors (298976328).

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

123577272 is a wasteful number, since it uses less digits than its factorization.

123577272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6322 (or 6312 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 123577272 is about 11116.5314734408. The cubic root of 123577272 is about 498.0957864814.

The spelling of 123577272 in words is "one hundred twenty-three million, five hundred seventy-seven thousand, two hundred seventy-two".