4123006272 has 504 divisors, whose sum is σ = 15444589888. Its totient is φ = 1067489280.

The previous prime is 4123006259. The next prime is 4123006301. The reversal of 4123006272 is 2726003214.

4123006272 is a `hidden beast` number, since 4 + 1 + 2 + 30 + 0 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13172388 + ... + 13172700.

Almost surely, 2^4123006272 is an apocalyptic number.

4123006272 is a gapful number since it is divisible by the number (42) 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 4123006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7722294944).

4123006272 is an abundant number, since it is smaller than the sum of its proper divisors (11321583616).

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

4123006272 is a wasteful number, since it uses less digits than its factorization.

4123006272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4123006272 is about 64210.6398659911. The cubic root of 4123006272 is about 1603.5087415002.

Adding to 4123006272 its reverse (2726003214), we get a palindrome (6849009486).

The spelling of 4123006272 in words is "four billion, one hundred twenty-three million, six thousand, two hundred seventy-two".